Percent - XYZ Custom Plus
Percent - XYZ Custom Plus
Percent - XYZ Custom Plus
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5.1 <strong>Percent</strong>s, Decimals, and Fractions307E Changing Fractions to <strong>Percent</strong>sTo change a fraction to a percent, we can change the fraction to a decimal andthen change the decimal to a percent.Example 24Suppose the price your bookstore pays for your textbookis _710 of the price you pay for your textbook. Write 7 _as a percent.10Solution We can change _7 to a decimal by dividing 7 by 10:100.7____10) 7.0 7 0024. Change to a percent.a. _910 b. 9 _20 We then change the decimal 0.7 to a percent by moving thedecimal point two places to the right and using the % symbol:0.7 = 70%You may have noticed that we could have saved some time in Example 24by simply writing _7 as an equivalent fraction with denominator 100. That is:10_ 7 = 7_ ⋅ 10= 70_= 70%10 10 ⋅ 10 100This is a good way to convert fractions like _7 to percents. It works well for fractionswith denominators of 2, 4, 5, 10, 20, 25, and 50, because they are easy to10change to fractions with denominators of 100.Example 25Change 3 _to a percent.8Solution We write _3 as a decimal by dividing 3 by 8. We then change the8decimal to a percent by moving the decimal point two places to the right andusing the % symbol.25. Change to a percent.a. _5 8 b. 9 _8 _ 3 = 0.375 = 37.5%8_____ .3758) 3.000 2—460—564040 —026. Change to a percent.Example 26Change _5 to a percent.12Solution We begin by dividing 5 by 12:_______ .416612) 5.0000 4 8201280728072a. 7 _12 b. 13 _12 Answers24. a. 90% b. 45%25. a. 62.5% b. 112.5%