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How to Convert Fractions into Percents

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2016-03-26 21:08:26
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Basic Math & Pre-Algebra All-in-One For Dummies (+ Chapter Quizzes Online)
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Converting a fraction to a percent is a simple two-step process. The first example below shows how to convert a simple fraction, and the second example shows how to convert a more complex fraction using long division.

This first example shows you the basic steps:

  1. Convert the fraction to a decimal.

    For example, suppose you want to convert the fraction 4/5 to a percent. To convert 4/5 to a decimal, you can divide the numerator by the denominator:

    4/5 = 0.8

  2. Convert this decimal to a percent.

    Convert 0.8 to a percent by moving the decimal point two places to the right and adding a percent sign.

    0.8 = 80%

This second example shows how to convert a more complex fraction, 5/8, to a percent using long division:

  1. Convert 5/8 to a decimal by dividing the numerator by the denominator:

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    Therefore, 5/8 = 0.625.

  2. Convert 0.625 to a percent by moving the decimal point two places to the right and adding a percent sign (%):

    0.625 = 62.5%

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