Q:

How do you convert a percent to a fraction?

A:

Quick Answer

Converting a percent to a fraction is done by placing the number of the percent over 100. In final form, the fraction needs to contain only integers, and be simplified as much as possible.

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Full Answer

  1. Place the number over 100

    No matter what percent is given, place the percent in the numerator (top) of the fraction. Draw the fraction line under the percent number. Place 100 below the line as the denominator of the fraction.

  2. Make sure all numbers are integers

    To be a proper fraction, neither the numerator nor the denominator can contain a decimal. If the percent contained one decimal place, for example 1.5 percent, multiply the top and bottom of the new fraction by 10. If the percent contains more than one decimal, add as many zeros to the end of ten as there are decimal places. The example 1.25/100 should be 125/10,000 after multiplying the top and bottom of the new fraction.

  3. Simplify the new fraction

    By dividing the top and bottom by a common factor, the fraction is simplified. Continue to divide both top and bottom by common factors until the fraction cannot be simplified any more. In the previous example, 125/10,000 should be simplified until it is equal to 1/80.

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