Math 7 In-Class Worksheet Lesson 9.1 Percents and Fractions Name_________________________ Percent (%) means per 100. To change a percent to a fraction, write the percentage in the numerator and 100 in the denominator. Simplify if possible! 17 65 5 13 113 13 1 Examples: 17% = 65% = 113% = 100 100 5 20 100 100 Try These! 1.) 95% _____ 2.) 2% _______ 3.) 60% ______ 4.) 88% ______ 5.) 45% _____ 6.) 27% _______ 7.) 8% ______ 8.) 21% ______ 9.) 66% _____ 10.) 42% _______ 11.) 50% ______ 13.) 59% _____ 14.) 25% _______ 15.) 150% ______ 16.) 85% ______ 17.) 195% _____ 18.) 43% _______ 19.) 30% ______ 20.) 32% ______ 12.) 84% ______ Since percent means “per 100”, to change a fraction to a percent, you need to find an equivalent fraction with a denominator of 100. The percentage will be the numerator! Here are three ways you can use: ●Equivalent fractions: Multiply the denominator by the whole number that will give you 100 as the new denominator. Multiply the numerator by that same whole number. (You can not always use this method ) Examples : 2 20 40 40% 5 20 100 31 4 124 124% 25 4 100 ●Make a proportion with the fraction and 100 in the denominator of the second ratio. (This way will always work!) Examples: 5 x 8 100 12 x 7 100 8x = 500 8 8 7x = 1200 7 7 3 x = 171 % 7 x = 62.5% ● Multiply the fraction by 100. (This way will always work!) Examples: 2 100 40 40% 5 1 1 5 100 125 62.5% 8 1 2 Try These! Use whichever method you like! 1.) 17 25 2.) 3 4 5.) 57 100 6.) 23 40 3.) 7.) 5 16 9 10 4.) 4 9 8.) 17 12