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How to Convert Percentages to Fractions?

Published in Math Conversions 1 min read

To convert a percentage to a fraction, follow these steps:

  1. Write the percentage as a fraction with a denominator of 100. Remember that "percent" means "out of one hundred," so a percentage is simply that number over 100. For example, 82% becomes 82/100.

  2. Simplify the fraction to its lowest terms. Find the greatest common factor (GCF) of the numerator (top number) and the denominator (bottom number) and divide both by the GCF.

    • For example, with 82/100, the greatest common factor is 2.
    • Divide both the numerator and denominator by 2: 82 ÷ 2 = 41 and 100 ÷ 2 = 50.
    • Therefore, 82/100 simplifies to 41/50.

So, to convert a percentage to a fraction, put the percentage over 100 and then simplify.

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