Math: Middle School: Grades 6, 7 and 8 Quiz - Converting Percentages to Fractions (Answers)
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To convert a percentage to a fraction we must eliminate the “%” symbol by moving it two spaces to the left of the given number. In this case the given number is “12”. So, if you have 12%, the “%” is replaced with a decimal point that is then moved two spaces to the left of the 12 to give you: .12. The decimal point represents the number “100”. We then put the percentage number (12) as the numerator in a fraction and the “100” becomes the denominator. This converts 12% to look like 12/100.
It is important to remember that the “%” symbol always represents the number “100”.
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64% converts to the decimal of .64. We then put the percentage number “64” as the numerator and the number “100” as the denominator and we get 64/100. Answer (b) is the correct answer
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87% converts to the decimal of .87. We then put the percentage number “87” as the numerator and the number “100” as the denominator and we get 87/100. Answer (a) is the correct answer
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39% converts to the decimal of .39. We then put the percentage number “39” as the numerator and the number “100” as the denominator and we get 39/100. Answer (c) is the correct answer
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53% converts to the decimal of .53. We then put the percentage number “53” as the numerator and the number “100” as the denominator and we get 53/100. Answer (d) is the correct answer
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119% converts to the decimal of 1.19. Remember, the decimal point moves two spaces to the left. This means the decimal point will come up between the two “1s”. We then put the percentage number “119” as the numerator and the number “100” as the denominator and we get 119/100 which can then be simplified as 1 19⁄100. Answer (d) is the correct answer
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71% converts to the decimal of .71. We then put the percentage number “71” as the numerator and the number “100” as the denominator and we get 71/100. Answer (b) is the correct answer
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88% converts to the decimal of .88. We then put the percentage number “88” as the numerator and the number “100” as the denominator and we get 88/100. Answer (c) is the correct answer
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102% converts to the decimal of 1.02. Remember, the decimal point moves two spaces to the left. This means the decimal point will come up between the “1” and the “0”. We then put the percentage number “102” as the numerator and the number “100” as the denominator and we get 102/100 which can then be simplified as 1 2⁄100 or 1 1⁄50. Answer (d) is the correct answer
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33% converts to the decimal of .33. We then put the percentage number “33” as the numerator and the number “100” as the denominator and we get 33/100. Answer (c) is the correct answer
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22% converts to the decimal of .22. We then put the percentage number “22” as the numerator and the number “100” as the denominator and we get 22/100. Answer (a) is the correct answer
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