Lauretta J. Fox
It is important to be able to convert percentages to equivalent fractions and decimals. To change a percent to a common fraction, place it in the numerator of a fraction whose denominator is one hundred and remove the percent sign. Express the resulting fraction in simplest form, For example:
7% = 7/100, 6 1/3% = 6 1/3 Ö 100 = 19/3 x 1/100 = 19/300,
82% = 82/100 = 41/50, 4.8% = 4.8/100 = 48/1000 = 6/125.
The fraction 13/100 means 13 divided by 100. Every time a number is divided by 100 the decimal point moves two places to the left. To change a percent to a decimal, divide the given number by 100, that is, move the decimal point two places to the left and remove the percent sign.
57$ = .57
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125% = 1.25
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.39% = .0039
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87.5% =. 875
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To convert a fraction or a decimal to a percent, multiply the fraction or decimal by one hundred and place the percent sign with the result. For example:
1/4 = 1/4 x 100 = 25%
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.25 = 25
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100= 25%
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For practice complete the following table:
Percent
|
Decimal
|
Fraction
|
Percent
|
Decimal
|
Fraction
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45%
|
|
|
92%
|
|
24
|
|
|
.062
|
|
|
3/8
|
|
|
15/16
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5 1/4%
|
|
|
3.8%
|
|
4.4
|
|
|
.70
|
|
|
5/12
|
|
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6/7
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