{"id":201,"date":"2022-10-06T15:18:48","date_gmt":"2022-10-06T19:18:48","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/math025\/chapter\/topic-a-common-fractions-decimals\/"},"modified":"2025-06-28T00:52:26","modified_gmt":"2025-06-28T04:52:26","slug":"topic-a-common-fractions-decimals","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/math025\/chapter\/topic-a-common-fractions-decimals\/","title":{"raw":"Topic A: Common Fractions &amp; Decimals","rendered":"Topic A: Common Fractions &amp; Decimals"},"content":{"raw":"The amount represented by a fraction may be expressed as a common fraction, a decimal, or as a percent.\r\n\r\nWe choose common fractions, decimals, or percents for convenience and to fit the standard way of doing things.\r\n<div class=\"textbox\">\r\n\r\n<strong>Common fractions are used:<\/strong>\r\n<ul>\r\n \t<li>For everyday conversation about parts of the whole thing: [latex]\\tfrac{1}{2}[\/latex] cup of coffee, [latex]\\tfrac{1}{4}[\/latex] of an hour, [latex]\\tfrac{3}{4}[\/latex] tank of gas<\/li>\r\n \t<li>With amounts in the Imperial System of measurement, which is standard in the United States and still used by some people in Canada: [latex]3\\tfrac{1}{4}[\/latex] feet, [latex]\\tfrac{5}{8}[\/latex] inches, [latex]12\\tfrac{3}{4}[\/latex] miles, [latex]6\\tfrac{1}{4}[\/latex] pounds, [latex]1\\tfrac{1}{2}[\/latex] teaspoons<\/li>\r\n \t<li>For stock market reports and stock values<\/li>\r\n \t<li>For the score on the top of a test (which is usually changed to a percent)<\/li>\r\n<\/ul>\r\n<\/div>\r\n<div class=\"textbox\">\r\n\r\n<strong>Decimals are used<\/strong>\r\n<ul>\r\n \t<li>With money ($12.23)<\/li>\r\n \t<li>With the metric system of measurement (1.5 metres, 7.25 litres, 29.75 kilometres, 0.5\r\ncentimetres, 9.2 grams, 75.5 kilograms, etc.)<\/li>\r\n \t<li>Whenever there is a lot of arithmetic calculation to be done<\/li>\r\n \t<li>For calculators and computers<\/li>\r\n<\/ul>\r\n<\/div>\r\n<div class=\"textbox\">\r\n\r\n\u00a0<strong>Percents are used<\/strong>\r\n<ul>\r\n \t<li>For reporting statistics<\/li>\r\n \t<li>For bank rates and interest charges such as mortgage rates<\/li>\r\n \t<li>For reading a grade on a test<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h1>Writing Decimals as Common Fractions<\/h1>\r\nRemember this skill?\r\n<ul class=\"twocolumn\" type=\"none\">\r\n \t<li>[latex]0.48 =\\tfrac{48}{100}[\/latex]<\/li>\r\n \t<li>[latex]3.542=3\\tfrac{542}{1000}[\/latex]<\/li>\r\n<\/ul>\r\nCommon fractions should always be in lowest terms.\r\n<ul class=\"twocolumn\" type=\"none\">\r\n \t<li>[latex]0.48 =\\tfrac{48}{100}\\left(\\tfrac{ \u00f7 4}{ \u00f7 4}\\right)=\\tfrac{12}{25}[\/latex]<\/li>\r\n \t<li>[latex]3.542=3\\tfrac{542}{1000}\\left(\\tfrac{ \u00f7 2}{ \u00f7 2}\\right)=3\\tfrac{271}{500}[\/latex]<\/li>\r\n<\/ul>\r\nThis list of factors may help you to simplify the fractions.\r\n\r\nThe factors of <strong>10<\/strong> are 1, 2, 5, 10\r\n\r\nThe factors of <strong>100<\/strong> are 1, 2, 4, 5, 10, 20, 25, 50, 100\r\n\r\nThe factors of<strong> 1000<\/strong> are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000\r\n\r\n<strong>Remember:<\/strong> the whole number in a mixed decimal stays a whole number in a mixed fraction.\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nWrite these decimals as common fractions expressed in lowest terms or mixed number, if needed.\r\n<ol class=\"threecolumn space\" type=\"a\">\r\n \t<li>[latex]16.04 =16\\tfrac{4}{100}\\left(\\tfrac{\u00f74}{\u00f74}\\right)=16\\tfrac{1}{3}[\/latex]<\/li>\r\n \t<li>[latex]0.085 =\\tfrac{85}{1000}\\left(\\tfrac{\u00f75}{\u00f75}\\right)=\\tfrac{17}{200}[\/latex]<\/li>\r\n \t<li>3.48 =<\/li>\r\n \t<li>12.075 =<\/li>\r\n \t<li>6.25 =<\/li>\r\n \t<li>0.14 =<\/li>\r\n \t<li>12.125 =<\/li>\r\n \t<li>1.75 =<\/li>\r\n<\/ol>\r\n<div><strong>Answers to Exercise 1<\/strong><\/div>\r\n<ol class=\"threecolumn\" start=\"3\" type=\"a\">\r\n \t<li>[latex]3\\dfrac{12}{25}[\/latex]<\/li>\r\n \t<li>[latex]12\\dfrac{3}{40}[\/latex]<\/li>\r\n \t<li>[latex]6\\dfrac{1}{4}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{7}{50}[\/latex]<\/li>\r\n \t<li>[latex]12\\dfrac{1}{8}[\/latex]<\/li>\r\n \t<li>[latex]1\\dfrac{3}{4}[\/latex]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<h1>Some Tricky Conversions<\/h1>\r\nDo you remember that there are some fractions that do not convert into decimals perfectly? The reason they do not is because they have a repeating decimal.\r\n\r\nSome are:\r\n<ul class=\"threecolumn\" type=\"none\">\r\n \t<li>[latex]\\dfrac{1}{6} = 0.1\\overline{6} [\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{1}{3} = 0.\\overline{3}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{2}{3} = 0.\\overline{6}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{5}{6}= 0.8\\overline{3}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{1}{9} = 0.\\overline{1}[\/latex]<\/li>\r\n<\/ul>\r\nConverting\u00a0 [latex]0.166666666666\\overline{6}[\/latex]) into a fraction is beyond the scope of this course.\r\n\r\nOne way to deal with this problem at this time is to memorize common ones like the above examples.\r\n<h1>Writing Common Fractions as Decimals<\/h1>\r\nAs you know, common fractions with denominators of 10, 100, 1 000, or 10 000 are easily written as decimals.\r\n<ul class=\"threecolumn\" type=\"none\">\r\n \t<li>[latex]\\dfrac{3}{10} = 0.3 [\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{21}{100} = 0.21 [\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{69}{1000} = 0.069 [\/latex]<\/li>\r\n<\/ul>\r\nBut if the denominator is not a 10, 100, etc., you may be able to change a common fraction to an equivalent fraction with a denominator of 10, 100, 1<span style=\"margin-left: 0.25em\">000<\/span>, or 10<span style=\"margin-left: 0.25em\">000<\/span> which can then be written easily as a decimal. For example,\r\n<ul class=\"threecolumn\" type=\"none\">\r\n \t<li>[latex]\\dfrac{3}{5}\\left(\\dfrac{\\times2}{\\times2}\\right)=\\dfrac{6}{10} = 0.6 [\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{1}{2}\\left(\\dfrac{\\times5}{\\times5}\\right)= \\dfrac{5}{10} = 0.5 [\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{4}{25}\\left(\\dfrac{\\times4}{\\times4}\\right)= \\dfrac{16}{100} = 0.16 [\/latex]<\/li>\r\n<\/ul>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nWrite as decimals.\r\n<ol class=\"threecolumn\" type=\"a\">\r\n \t<li>[latex]\\dfrac{1}{2}=\\dfrac{5}{10}=0.5[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{2}{5}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{7}{10}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{4}{5}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{21}{1000}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{8}{25}[\/latex]<\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise 2<\/strong>\r\n<div>\r\n<ol class=\"threecolumn\" start=\"2\" type=\"a\">\r\n \t<li>0.4<\/li>\r\n \t<li>0.7<\/li>\r\n \t<li>0.8<\/li>\r\n \t<li>0.021<\/li>\r\n \t<li>0.32<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<strong>The following is a review of how to change a fraction to a decimal when it is not easy to make the denominator:<\/strong>\r\n\r\nThe line in a common fraction can be thought of as a divided by sign \u00f7\r\nTo change a common fraction to a decimal, do this:\r\n\r\nnumerator \u00f7 denominator = the decimal equivalent\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example A<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n[latex]\\dfrac{3}{4}[\/latex]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Think [latex]3 \u00f7 4[\/latex]\r\n<ul>\r\n \t<li>[latex]\\begin{array}\r\n{r}0.75\\\\\r\n\\ 4\\enclose{longdiv}{3.00}\\\\28\\downarrow\\\\\\hline 20 \\hspace{0.1em} \\\\ 20\\hspace{0.1em} \\\\ \\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{3}{4} = 0.75 [\/latex]<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example B<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n[latex]\\dfrac{3}{8}[\/latex] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Think [latex]3 \u00f7 8[\/latex]\r\n<ul>\r\n \t<li>[latex]\\begin{array}{r}0.375\\\\ 8\\enclose{longdiv}{3.000}\\\\24\\downarrow\\hspace{0.7em}\\\\\\hline60\\hspace{0.8em}\\\\56\\downarrow\\\\\\hline40\\hspace{0.1em}\\\\40\\hspace{0.1em}\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{3}{8} = 0.375[\/latex]<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example C<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n[latex]\\dfrac{1}{3}[\/latex] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Think [latex]1 \u00f7 3[\/latex]\r\n<ul>\r\n \t<li>[latex]\\begin{array}{r}0.333\\\\ 3\\enclose{longdiv}{1.000}\\\\{9}\\downarrow\\hspace{0.5em}\\\\\\hline10\\hspace{0.5em}\\\\0\\downarrow\\hspace{0.1em}\\\\\\hline10\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{1}{3}= 0.333[\/latex]<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 3<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nUse the division method to write these common fractions as decimals.\r\n<ol class=\"threecolumn\" type=\"a\">\r\n \t<li>[latex]\\dfrac{1}{2}[\/latex] = [latex] \\begin{array}{r}0.5\\\\ 2\\enclose{longdiv}{1.0}\\\\-1.0\\\\ \\hline 0\\end{array}[\/latex]\r\n[latex]\\dfrac{1}{2} = 0.5[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{1}{4}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{2}{5}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{6}{12}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{1}{8}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{3}{8}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{2}{3}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{19}{20}[\/latex]<\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise 3<\/strong>\r\n<ol class=\"threecolumn\" start=\"2\" type=\"a\">\r\n \t<li>[latex]0.25[\/latex]<\/li>\r\n \t<li>[latex]0.4[\/latex]<\/li>\r\n \t<li>[latex]0.5[\/latex]<\/li>\r\n \t<li>[latex]0.125[\/latex]<\/li>\r\n \t<li>[latex]0.375[\/latex]<\/li>\r\n \t<li>[latex]0.\\overline6[\/latex]<\/li>\r\n \t<li>[latex]0.95[\/latex]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<strong>The whole number in a mixed fraction stays a whole number in a mixed decimal.<\/strong> Rewrite the whole number to the left of the decimal. Then change the common fraction to a decimal.\r\n<ul class=\"twocolumn\" type=\"none\">\r\n \t<li>[latex]4 \\dfrac{3}{4} = 4.75[\/latex]<\/li>\r\n \t<li>Think [latex]\\tfrac{3}{4} = 3 \\div 4 = 0.75[\/latex]<\/li>\r\n \t<li>[latex]16 \\dfrac{1}{2} = 16.5[\/latex]<\/li>\r\n \t<li>Think [latex]\\tfrac{1}{2} = 1 \\div 2 = 0.5[\/latex]<\/li>\r\n<\/ul>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Exercise 4<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nComplete the chart of equivalent common fractions and decimals. Use this chart as a reference for yourself in later work. Look for patterns that develop and note them in the margin.\r\n<table class=\"grid\" style=\"border-collapse: collapse;width: 100%;height: 504px\" border=\"0\"><caption>Chart of common fractions and decimals to complete<\/caption>\r\n<thead>\r\n<tr style=\"height: 16px\">\r\n<th style=\"width: 41.4722%;height: 16px\" scope=\"col\">Common Fraction<\/th>\r\n<th style=\"width: 58.3483%;height: 16px\" scope=\"col\">Decimal<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 11px\">[latex]\\dfrac{1}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 11px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{8}=\\dfrac{1}{4}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{3}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{8}=\\dfrac{2}{4}=\\dfrac{1}{2}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{5}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{8}=\\dfrac{3}{4}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{7}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{8}=\\dfrac{4}{4}=\\dfrac{2}{2}=1[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">&nbsp;\r\n\r\n&nbsp;<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{1}{12}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{12}=\\dfrac{1}{6}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{12}=\\dfrac{2}{6}=\\dfrac{1}{3}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{12}=\\dfrac{3}{6}=\\dfrac{1}{2}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{12}=\\dfrac{4}{6}=\\dfrac{2}{3}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{12}=\\dfrac{5}{6}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{12}{12}=\\dfrac{6}{6}=\\dfrac{3}{3}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 21px\">\r\n<td style=\"width: 41.4722%;height: 21px\">[latex]\\dfrac{1}{20}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 21px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{20}=\\dfrac{1}{10}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{2}{10}=\\dfrac{1}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{4}{10}=\\dfrac{2}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{10}=\\dfrac{3}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{8}{10}=\\dfrac{4}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{10}=\\dfrac{5}{5}=1[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<strong>Answers to Exercise 4\r\n<\/strong>\r\n<table class=\"grid\" style=\"border-collapse: collapse;width: 100%;height: 504px\" border=\"0\"><caption>Chart of common fractions and decimals completed<\/caption>\r\n<thead>\r\n<tr style=\"height: 16px\">\r\n<th style=\"width: 41.4722%;height: 16px\" scope=\"col\">Common Fraction<\/th>\r\n<th style=\"width: 58.3483%;height: 16px\" scope=\"col\">Decimal<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 11px\">[latex]\\dfrac{1}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 11px\">.0125<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{8}=\\dfrac{1}{4}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.25<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{3}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.375<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{8}=\\dfrac{2}{4}=\\dfrac{1}{2}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">0.5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{5}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.625<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{8}=\\dfrac{3}{4}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.75<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{7}{8}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.875<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{8}=\\dfrac{4}{4}=\\dfrac{2}{2}=1[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">&nbsp;\r\n\r\n1.0<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{1}{12}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">[latex]0.08\\overline{3}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{12}=\\dfrac{1}{6}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">[latex]0.1\\overline{6}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{12}=\\dfrac{2}{6}=\\dfrac{1}{3}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">[latex]0.\\overline{3}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{12}=\\dfrac{3}{6}=\\dfrac{1}{2}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{12}=\\dfrac{4}{6}=\\dfrac{2}{3}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">[latex]0.\\overline{6}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{12}=\\dfrac{5}{6}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">[latex]0.8\\overline{3}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{12}{12}=\\dfrac{6}{6}=\\dfrac{3}{3}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">1.0<\/td>\r\n<\/tr>\r\n<tr style=\"height: 21px\">\r\n<td style=\"width: 41.4722%;height: 21px\">[latex]\\dfrac{1}{20}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 21px\">0.05<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{20}=\\dfrac{1}{10}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.1<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{2}{10}=\\dfrac{1}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">0.2<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{4}{10}=\\dfrac{2}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.4<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{10}=\\dfrac{3}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.6<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16px\">\r\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{8}{10}=\\dfrac{4}{5}[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 16px\">0.8<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px\">\r\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{10}=\\dfrac{5}{5}=1[\/latex]<\/td>\r\n<td style=\"width: 58.3483%;height: 33px\">1.0<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\nYou may work with problems and real-life situations that use one decimal and one common fraction. Rewrite the fractions so both are decimals or both are common fractions. Choose the form that will give the answer the way it should be written.\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example D<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nTed worked [latex]3\\tfrac{3}{4}[\/latex] hours at $8.25 per hour. <strong>How much did he earn? (Round to the nearest cent.)<\/strong>\r\n\r\nThe answer will be money which should be written using decimals, so work in the decimal form.\r\n\r\nRewrite [latex]3\\tfrac{3}{4}[\/latex] hours as 3.75 hours.\r\n\r\nTed earned [latex]3.75 \u00d7 $8.25 = $30.94[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example E<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nJane cycled 49.4 km in [latex]2\\tfrac{1}{2}[\/latex] hours. <strong>What was her average speed?<\/strong>\r\n\r\nThe answer will be in km\/hr. Metric measurements are written with decimals, so work in decimals.\r\n\r\nRewrite [latex]2\\tfrac{1}{2}[\/latex] hours as 2.5 hours and solve the problem.\r\n\r\n[latex]49.4 \u00f7 2.5 = 19.76[\/latex] km\/hr.\r\n\r\n<\/div>\r\n<\/div>\r\n<h1>Topic A: Self-Test<\/h1>\r\n<strong>Mark\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/11 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aim\u00a0\u00a0\u00a0\u00a0\u00a0 9\/11<\/strong>\r\n<ol type=\"A\">\r\n \t<li>Complete the chart (7 marks).\r\n<table class=\"grid alignleft\" style=\"border-collapse: collapse;width: 100%;height: 171px\" border=\"0\"><caption>Chart of common fractions and decimals to complete<\/caption>\r\n<thead>\r\n<tr style=\"height: 45px\">\r\n<th style=\"width: 50%;height: 45px;text-align: left\" scope=\"col\">Common Fraction<\/th>\r\n<th style=\"width: 50%;height: 45px;text-align: left\" scope=\"col\">Decimal<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{4}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<td style=\"width: 50%;height: 18px\">0.125<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<td style=\"width: 50%;height: 18px\">[latex]0.\\overline3[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{4}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<td style=\"width: 50%;height: 18px\">0.875<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{5}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{6}{6}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t<li>Answer the following word problems (4 marks).\r\n<ol type=\"a\">\r\n \t<li>Joseph worked [latex]5 \\dfrac{3}{4}[\/latex]hours a day, 5 days a week. He gets paid $9.35 per hour. How much does he get paid a week?<\/li>\r\n \t<li>Giang ran a 42.195 km marathon in [latex]4\\dfrac{1}{4}[\/latex]hours. What was her average speed rounded to two decimal places?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<h1>Answers to Self Test A.<\/h1>\r\n<ol type=\"A\">\r\n \t<li>\r\n<table class=\"grid alignleft\" style=\"border-collapse: collapse;width: 100%;height: 171px\" border=\"0\"><caption>Chart of common fractions and decimals completed<\/caption>\r\n<thead>\r\n<tr style=\"height: 45px\">\r\n<td style=\"width: 50%;height: 45px;text-align: left\">Common Fraction<\/td>\r\n<td style=\"width: 50%;height: 45px;text-align: left\">Decimal<\/td>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{4}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">0.25<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{8}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">0.125<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{3}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">[latex]0.\\overline3[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{4}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">0.75<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{7}{8}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">0.875<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{5}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">0.6<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 50%;height: 18px\">\u00a0[latex]\\dfrac{6}{6}[\/latex]<\/td>\r\n<td style=\"width: 50%;height: 18px\">1<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t<li>\r\n<ol type=\"a\">\r\n \t<li>$268.81<\/li>\r\n \t<li>9.93 km\/hr<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>","rendered":"<p>The amount represented by a fraction may be expressed as a common fraction, a decimal, or as a percent.<\/p>\n<p>We choose common fractions, decimals, or percents for convenience and to fit the standard way of doing things.<\/p>\n<div class=\"textbox\">\n<p><strong>Common fractions are used:<\/strong><\/p>\n<ul>\n<li>For everyday conversation about parts of the whole thing: [latex]\\tfrac{1}{2}[\/latex] cup of coffee, [latex]\\tfrac{1}{4}[\/latex] of an hour, [latex]\\tfrac{3}{4}[\/latex] tank of gas<\/li>\n<li>With amounts in the Imperial System of measurement, which is standard in the United States and still used by some people in Canada: [latex]3\\tfrac{1}{4}[\/latex] feet, [latex]\\tfrac{5}{8}[\/latex] inches, [latex]12\\tfrac{3}{4}[\/latex] miles, [latex]6\\tfrac{1}{4}[\/latex] pounds, [latex]1\\tfrac{1}{2}[\/latex] teaspoons<\/li>\n<li>For stock market reports and stock values<\/li>\n<li>For the score on the top of a test (which is usually changed to a percent)<\/li>\n<\/ul>\n<\/div>\n<div class=\"textbox\">\n<p><strong>Decimals are used<\/strong><\/p>\n<ul>\n<li>With money ($12.23)<\/li>\n<li>With the metric system of measurement (1.5 metres, 7.25 litres, 29.75 kilometres, 0.5<br \/>\ncentimetres, 9.2 grams, 75.5 kilograms, etc.)<\/li>\n<li>Whenever there is a lot of arithmetic calculation to be done<\/li>\n<li>For calculators and computers<\/li>\n<\/ul>\n<\/div>\n<div class=\"textbox\">\n<p>\u00a0<strong>Percents are used<\/strong><\/p>\n<ul>\n<li>For reporting statistics<\/li>\n<li>For bank rates and interest charges such as mortgage rates<\/li>\n<li>For reading a grade on a test<\/li>\n<\/ul>\n<\/div>\n<h1>Writing Decimals as Common Fractions<\/h1>\n<p>Remember this skill?<\/p>\n<ul class=\"twocolumn\" type=\"none\">\n<li>[latex]0.48 =\\tfrac{48}{100}[\/latex]<\/li>\n<li>[latex]3.542=3\\tfrac{542}{1000}[\/latex]<\/li>\n<\/ul>\n<p>Common fractions should always be in lowest terms.<\/p>\n<ul class=\"twocolumn\" type=\"none\">\n<li>[latex]0.48 =\\tfrac{48}{100}\\left(\\tfrac{ \u00f7 4}{ \u00f7 4}\\right)=\\tfrac{12}{25}[\/latex]<\/li>\n<li>[latex]3.542=3\\tfrac{542}{1000}\\left(\\tfrac{ \u00f7 2}{ \u00f7 2}\\right)=3\\tfrac{271}{500}[\/latex]<\/li>\n<\/ul>\n<p>This list of factors may help you to simplify the fractions.<\/p>\n<p>The factors of <strong>10<\/strong> are 1, 2, 5, 10<\/p>\n<p>The factors of <strong>100<\/strong> are 1, 2, 4, 5, 10, 20, 25, 50, 100<\/p>\n<p>The factors of<strong> 1000<\/strong> are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000<\/p>\n<p><strong>Remember:<\/strong> the whole number in a mixed decimal stays a whole number in a mixed fraction.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Write these decimals as common fractions expressed in lowest terms or mixed number, if needed.<\/p>\n<ol class=\"threecolumn space\" type=\"a\">\n<li>[latex]16.04 =16\\tfrac{4}{100}\\left(\\tfrac{\u00f74}{\u00f74}\\right)=16\\tfrac{1}{3}[\/latex]<\/li>\n<li>[latex]0.085 =\\tfrac{85}{1000}\\left(\\tfrac{\u00f75}{\u00f75}\\right)=\\tfrac{17}{200}[\/latex]<\/li>\n<li>3.48 =<\/li>\n<li>12.075 =<\/li>\n<li>6.25 =<\/li>\n<li>0.14 =<\/li>\n<li>12.125 =<\/li>\n<li>1.75 =<\/li>\n<\/ol>\n<div><strong>Answers to Exercise 1<\/strong><\/div>\n<ol class=\"threecolumn\" start=\"3\" type=\"a\">\n<li>[latex]3\\dfrac{12}{25}[\/latex]<\/li>\n<li>[latex]12\\dfrac{3}{40}[\/latex]<\/li>\n<li>[latex]6\\dfrac{1}{4}[\/latex]<\/li>\n<li>[latex]\\dfrac{7}{50}[\/latex]<\/li>\n<li>[latex]12\\dfrac{1}{8}[\/latex]<\/li>\n<li>[latex]1\\dfrac{3}{4}[\/latex]<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Some Tricky Conversions<\/h1>\n<p>Do you remember that there are some fractions that do not convert into decimals perfectly? The reason they do not is because they have a repeating decimal.<\/p>\n<p>Some are:<\/p>\n<ul class=\"threecolumn\" type=\"none\">\n<li>[latex]\\dfrac{1}{6} = 0.1\\overline{6}[\/latex]<\/li>\n<li>[latex]\\dfrac{1}{3} = 0.\\overline{3}[\/latex]<\/li>\n<li>[latex]\\dfrac{2}{3} = 0.\\overline{6}[\/latex]<\/li>\n<li>[latex]\\dfrac{5}{6}= 0.8\\overline{3}[\/latex]<\/li>\n<li>[latex]\\dfrac{1}{9} = 0.\\overline{1}[\/latex]<\/li>\n<\/ul>\n<p>Converting\u00a0 [latex]0.166666666666\\overline{6}[\/latex]) into a fraction is beyond the scope of this course.<\/p>\n<p>One way to deal with this problem at this time is to memorize common ones like the above examples.<\/p>\n<h1>Writing Common Fractions as Decimals<\/h1>\n<p>As you know, common fractions with denominators of 10, 100, 1 000, or 10 000 are easily written as decimals.<\/p>\n<ul class=\"threecolumn\" type=\"none\">\n<li>[latex]\\dfrac{3}{10} = 0.3[\/latex]<\/li>\n<li>[latex]\\dfrac{21}{100} = 0.21[\/latex]<\/li>\n<li>[latex]\\dfrac{69}{1000} = 0.069[\/latex]<\/li>\n<\/ul>\n<p>But if the denominator is not a 10, 100, etc., you may be able to change a common fraction to an equivalent fraction with a denominator of 10, 100, 1<span style=\"margin-left: 0.25em\">000<\/span>, or 10<span style=\"margin-left: 0.25em\">000<\/span> which can then be written easily as a decimal. For example,<\/p>\n<ul class=\"threecolumn\" type=\"none\">\n<li>[latex]\\dfrac{3}{5}\\left(\\dfrac{\\times2}{\\times2}\\right)=\\dfrac{6}{10} = 0.6[\/latex]<\/li>\n<li>[latex]\\dfrac{1}{2}\\left(\\dfrac{\\times5}{\\times5}\\right)= \\dfrac{5}{10} = 0.5[\/latex]<\/li>\n<li>[latex]\\dfrac{4}{25}\\left(\\dfrac{\\times4}{\\times4}\\right)= \\dfrac{16}{100} = 0.16[\/latex]<\/li>\n<\/ul>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Write as decimals.<\/p>\n<ol class=\"threecolumn\" type=\"a\">\n<li>[latex]\\dfrac{1}{2}=\\dfrac{5}{10}=0.5[\/latex]<\/li>\n<li>[latex]\\dfrac{2}{5}[\/latex]<\/li>\n<li>[latex]\\dfrac{7}{10}[\/latex]<\/li>\n<li>[latex]\\dfrac{4}{5}[\/latex]<\/li>\n<li>[latex]\\dfrac{21}{1000}[\/latex]<\/li>\n<li>[latex]\\dfrac{8}{25}[\/latex]<\/li>\n<\/ol>\n<p><strong>Answers to Exercise 2<\/strong><\/p>\n<div>\n<ol class=\"threecolumn\" start=\"2\" type=\"a\">\n<li>0.4<\/li>\n<li>0.7<\/li>\n<li>0.8<\/li>\n<li>0.021<\/li>\n<li>0.32<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>The following is a review of how to change a fraction to a decimal when it is not easy to make the denominator:<\/strong><\/p>\n<p>The line in a common fraction can be thought of as a divided by sign \u00f7<br \/>\nTo change a common fraction to a decimal, do this:<\/p>\n<p>numerator \u00f7 denominator = the decimal equivalent<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example A<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>[latex]\\dfrac{3}{4}[\/latex]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Think [latex]3 \u00f7 4[\/latex]<\/p>\n<ul>\n<li>[latex]\\begin{array}  {r}0.75\\\\  \\ 4\\enclose{longdiv}{3.00}\\\\28\\downarrow\\\\\\hline 20 \\hspace{0.1em} \\\\ 20\\hspace{0.1em} \\\\ \\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\dfrac{3}{4} = 0.75[\/latex]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example B<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>[latex]\\dfrac{3}{8}[\/latex] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Think [latex]3 \u00f7 8[\/latex]<\/p>\n<ul>\n<li>[latex]\\begin{array}{r}0.375\\\\ 8\\enclose{longdiv}{3.000}\\\\24\\downarrow\\hspace{0.7em}\\\\\\hline60\\hspace{0.8em}\\\\56\\downarrow\\\\\\hline40\\hspace{0.1em}\\\\40\\hspace{0.1em}\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\dfrac{3}{8} = 0.375[\/latex]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example C<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>[latex]\\dfrac{1}{3}[\/latex] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Think [latex]1 \u00f7 3[\/latex]<\/p>\n<ul>\n<li>[latex]\\begin{array}{r}0.333\\\\ 3\\enclose{longdiv}{1.000}\\\\{9}\\downarrow\\hspace{0.5em}\\\\\\hline10\\hspace{0.5em}\\\\0\\downarrow\\hspace{0.1em}\\\\\\hline10\\end{array}[\/latex]<\/li>\n<li>[latex]\\dfrac{1}{3}= 0.333[\/latex]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Use the division method to write these common fractions as decimals.<\/p>\n<ol class=\"threecolumn\" type=\"a\">\n<li>[latex]\\dfrac{1}{2}[\/latex] = [latex]\\begin{array}{r}0.5\\\\ 2\\enclose{longdiv}{1.0}\\\\-1.0\\\\ \\hline 0\\end{array}[\/latex]<br \/>\n[latex]\\dfrac{1}{2} = 0.5[\/latex]<\/li>\n<li>[latex]\\dfrac{1}{4}[\/latex]<\/li>\n<li>[latex]\\dfrac{2}{5}[\/latex]<\/li>\n<li>[latex]\\dfrac{6}{12}[\/latex]<\/li>\n<li>[latex]\\dfrac{1}{8}[\/latex]<\/li>\n<li>[latex]\\dfrac{3}{8}[\/latex]<\/li>\n<li>[latex]\\dfrac{2}{3}[\/latex]<\/li>\n<li>[latex]\\dfrac{19}{20}[\/latex]<\/li>\n<\/ol>\n<p><strong>Answers to Exercise 3<\/strong><\/p>\n<ol class=\"threecolumn\" start=\"2\" type=\"a\">\n<li>[latex]0.25[\/latex]<\/li>\n<li>[latex]0.4[\/latex]<\/li>\n<li>[latex]0.5[\/latex]<\/li>\n<li>[latex]0.125[\/latex]<\/li>\n<li>[latex]0.375[\/latex]<\/li>\n<li>[latex]0.\\overline6[\/latex]<\/li>\n<li>[latex]0.95[\/latex]<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p><strong>The whole number in a mixed fraction stays a whole number in a mixed decimal.<\/strong> Rewrite the whole number to the left of the decimal. Then change the common fraction to a decimal.<\/p>\n<ul class=\"twocolumn\" type=\"none\">\n<li>[latex]4 \\dfrac{3}{4} = 4.75[\/latex]<\/li>\n<li>Think [latex]\\tfrac{3}{4} = 3 \\div 4 = 0.75[\/latex]<\/li>\n<li>[latex]16 \\dfrac{1}{2} = 16.5[\/latex]<\/li>\n<li>Think [latex]\\tfrac{1}{2} = 1 \\div 2 = 0.5[\/latex]<\/li>\n<\/ul>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Complete the chart of equivalent common fractions and decimals. Use this chart as a reference for yourself in later work. Look for patterns that develop and note them in the margin.<\/p>\n<table class=\"grid\" style=\"border-collapse: collapse;width: 100%;height: 504px\">\n<caption>Chart of common fractions and decimals to complete<\/caption>\n<thead>\n<tr style=\"height: 16px\">\n<th style=\"width: 41.4722%;height: 16px\" scope=\"col\">Common Fraction<\/th>\n<th style=\"width: 58.3483%;height: 16px\" scope=\"col\">Decimal<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 11px\">[latex]\\dfrac{1}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 11px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{8}=\\dfrac{1}{4}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{3}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{8}=\\dfrac{2}{4}=\\dfrac{1}{2}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{5}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{8}=\\dfrac{3}{4}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{7}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{8}=\\dfrac{4}{4}=\\dfrac{2}{2}=1[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">&nbsp;<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{1}{12}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{12}=\\dfrac{1}{6}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{12}=\\dfrac{2}{6}=\\dfrac{1}{3}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{12}=\\dfrac{3}{6}=\\dfrac{1}{2}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{12}=\\dfrac{4}{6}=\\dfrac{2}{3}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{12}=\\dfrac{5}{6}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{12}{12}=\\dfrac{6}{6}=\\dfrac{3}{3}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<tr style=\"height: 21px\">\n<td style=\"width: 41.4722%;height: 21px\">[latex]\\dfrac{1}{20}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 21px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{20}=\\dfrac{1}{10}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{2}{10}=\\dfrac{1}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{4}{10}=\\dfrac{2}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{10}=\\dfrac{3}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{8}{10}=\\dfrac{4}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\"><\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{10}=\\dfrac{5}{5}=1[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answers to Exercise 4<br \/>\n<\/strong><\/p>\n<table class=\"grid\" style=\"border-collapse: collapse;width: 100%;height: 504px\">\n<caption>Chart of common fractions and decimals completed<\/caption>\n<thead>\n<tr style=\"height: 16px\">\n<th style=\"width: 41.4722%;height: 16px\" scope=\"col\">Common Fraction<\/th>\n<th style=\"width: 58.3483%;height: 16px\" scope=\"col\">Decimal<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 11px\">[latex]\\dfrac{1}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 11px\">.0125<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{8}=\\dfrac{1}{4}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.25<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{3}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.375<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{8}=\\dfrac{2}{4}=\\dfrac{1}{2}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">0.5<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{5}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.625<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{8}=\\dfrac{3}{4}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.75<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{7}{8}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.875<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{8}=\\dfrac{4}{4}=\\dfrac{2}{2}=1[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">&nbsp;<\/p>\n<p>1.0<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{1}{12}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">[latex]0.08\\overline{3}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{12}=\\dfrac{1}{6}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">[latex]0.1\\overline{6}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{4}{12}=\\dfrac{2}{6}=\\dfrac{1}{3}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">[latex]0.\\overline{3}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{12}=\\dfrac{3}{6}=\\dfrac{1}{2}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.5<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{8}{12}=\\dfrac{4}{6}=\\dfrac{2}{3}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">[latex]0.\\overline{6}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{12}=\\dfrac{5}{6}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">[latex]0.8\\overline{3}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{12}{12}=\\dfrac{6}{6}=\\dfrac{3}{3}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">1.0<\/td>\n<\/tr>\n<tr style=\"height: 21px\">\n<td style=\"width: 41.4722%;height: 21px\">[latex]\\dfrac{1}{20}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 21px\">0.05<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{2}{20}=\\dfrac{1}{10}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.1<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{2}{10}=\\dfrac{1}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">0.2<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{4}{10}=\\dfrac{2}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.4<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{6}{10}=\\dfrac{3}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.6<\/td>\n<\/tr>\n<tr style=\"height: 16px\">\n<td style=\"width: 41.4722%;height: 16px\">[latex]\\dfrac{8}{10}=\\dfrac{4}{5}[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 16px\">0.8<\/td>\n<\/tr>\n<tr style=\"height: 33px\">\n<td style=\"width: 41.4722%;height: 33px\">[latex]\\dfrac{10}{10}=\\dfrac{5}{5}=1[\/latex]<\/td>\n<td style=\"width: 58.3483%;height: 33px\">1.0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p>You may work with problems and real-life situations that use one decimal and one common fraction. Rewrite the fractions so both are decimals or both are common fractions. Choose the form that will give the answer the way it should be written.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example D<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Ted worked [latex]3\\tfrac{3}{4}[\/latex] hours at $8.25 per hour. <strong>How much did he earn? (Round to the nearest cent.)<\/strong><\/p>\n<p>The answer will be money which should be written using decimals, so work in the decimal form.<\/p>\n<p>Rewrite [latex]3\\tfrac{3}{4}[\/latex] hours as 3.75 hours.<\/p>\n<p>Ted earned [latex]3.75 \u00d7 $8.25 = $30.94[\/latex]<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example E<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Jane cycled 49.4 km in [latex]2\\tfrac{1}{2}[\/latex] hours. <strong>What was her average speed?<\/strong><\/p>\n<p>The answer will be in km\/hr. Metric measurements are written with decimals, so work in decimals.<\/p>\n<p>Rewrite [latex]2\\tfrac{1}{2}[\/latex] hours as 2.5 hours and solve the problem.<\/p>\n<p>[latex]49.4 \u00f7 2.5 = 19.76[\/latex] km\/hr.<\/p>\n<\/div>\n<\/div>\n<h1>Topic A: Self-Test<\/h1>\n<p><strong>Mark\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/11 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aim\u00a0\u00a0\u00a0\u00a0\u00a0 9\/11<\/strong><\/p>\n<ol type=\"A\">\n<li>Complete the chart (7 marks).<br \/>\n<table class=\"grid alignleft\" style=\"border-collapse: collapse;width: 100%;height: 171px\">\n<caption>Chart of common fractions and decimals to complete<\/caption>\n<thead>\n<tr style=\"height: 45px\">\n<th style=\"width: 50%;height: 45px;text-align: left\" scope=\"col\">Common Fraction<\/th>\n<th style=\"width: 50%;height: 45px;text-align: left\" scope=\"col\">Decimal<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{4}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\"><\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\"><\/td>\n<td style=\"width: 50%;height: 18px\">0.125<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\"><\/td>\n<td style=\"width: 50%;height: 18px\">[latex]0.\\overline3[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{4}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\"><\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\"><\/td>\n<td style=\"width: 50%;height: 18px\">0.875<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{5}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\"><\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{6}{6}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>Answer the following word problems (4 marks).\n<ol type=\"a\">\n<li>Joseph worked [latex]5 \\dfrac{3}{4}[\/latex]hours a day, 5 days a week. He gets paid $9.35 per hour. How much does he get paid a week?<\/li>\n<li>Giang ran a 42.195 km marathon in [latex]4\\dfrac{1}{4}[\/latex]hours. What was her average speed rounded to two decimal places?<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h1>Answers to Self Test A.<\/h1>\n<ol type=\"A\">\n<li>\n<table class=\"grid alignleft\" style=\"border-collapse: collapse;width: 100%;height: 171px\">\n<caption>Chart of common fractions and decimals completed<\/caption>\n<thead>\n<tr style=\"height: 45px\">\n<td style=\"width: 50%;height: 45px;text-align: left\">Common Fraction<\/td>\n<td style=\"width: 50%;height: 45px;text-align: left\">Decimal<\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{4}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">0.25<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{8}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">0.125<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{1}{3}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">[latex]0.\\overline3[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{4}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">0.75<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{7}{8}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">0.875<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">[latex]\\dfrac{3}{5}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">0.6<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 50%;height: 18px\">\u00a0[latex]\\dfrac{6}{6}[\/latex]<\/td>\n<td style=\"width: 50%;height: 18px\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<ol type=\"a\">\n<li>$268.81<\/li>\n<li>9.93 km\/hr<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"author":999,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-201","chapter","type-chapter","status-publish","hentry"],"part":200,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/chapters\/201","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/wp\/v2\/users\/999"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/chapters\/201\/revisions"}],"predecessor-version":[{"id":388,"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/chapters\/201\/revisions\/388"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/parts\/200"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/chapters\/201\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/wp\/v2\/media?parent=201"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/pressbooks\/v2\/chapter-type?post=201"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/wp\/v2\/contributor?post=201"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math025\/wp-json\/wp\/v2\/license?post=201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}