Percent To Fraction Converter

Percent To Fraction Converter

Percent To Fraction Converter

Convert percentages to fractions in their simplest form. Enter a percentage value to get its equivalent fraction.
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Percent To Fraction Converter

This online converter changes a percent into a fraction. If the percent is over 100%, it turns into a mixed number fraction. Just enter the percentage you want to convert. You can also use decimals like 3.5% or 0.625%.

To change a percent to a fraction, first turn it into a decimal. Then, follow the same steps as converting a decimal to a fraction.

How to Convert a Percent to Fraction?

  1. Divide the percentage by 100 to get a decimal number.
  2. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction.
  3. Convert the decimal to a whole number: Count how many places are to the right of the decimal. If you have x decimal places then multiply numerator and denominator by 10x.
  4. Reduce the fraction: Find the Greatest Common Factor (GCF) of the numerator and denominator and reduce the fraction by dividing both numerator and denominator by the GCF.
  5. Simplify the remaining fraction to a mixed number fraction if possible.

Example: Convert 35.5% to a fraction

1. Divide by 100

35.5100=0.35535.5100=0.355

2. Rewrite the decimal number number as a fraction (over 1)

0.35510.3551

3. Multiply numerator and denominator by by 103 = 1000 to remove 3 decimal places

0.3551×10001000=35510000.3551×10001000=3551000

4. Find the Greatest Common Factor (GCF) of 355 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 5

355÷51000÷5=71200355÷51000÷5=71200

Therefore,

35.5%=71200

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