Percent to Fraction Calculator

Published on: April 28, 2024

This Percent to Fraction Calculator helps you convert a percent into a fraction and shows the working clearly step by step. Write the percent as a fraction over 100, remove any decimal by multiplying top and bottom by the same power of 10 if needed, and then simplify the fraction. This gives the answer in its simplest form. It is a simple way to check answers, understand percent-to-fraction conversion, and practise basic arithmetic step by step.

Step-by-step method

  1. Set up the problem: write the percent.
  2. Write it as a fraction over 100.
  3. If the percent has decimals, multiply by 10/10, 100/100, etc. until the top is a whole number.
  4. Simplify at the end.

Example 1: 75%

Step 1 - Set up the percent.

In this problem: We start with 75%.

75%

Step 2 - Write it as a fraction over 100.

In this problem: 75% = 75/100.

75
100

Step 3 - Make sure the fraction uses whole numbers.

In this problem: There is no decimal, so it already uses whole numbers.

75
100

Step 4 - Simplify at the end.

In this problem: Divide top and bottom by 25.

75
100
=
3
4

Final answer: 75% = 3/4

Example 2: 12.5%

Step 1 - Set up the percent.

In this problem: We start with 12.5%.

12.5%

Step 2 - Write it as a fraction over 100.

In this problem: 12.5% = 12.5/100.

12.5
100

Step 3 - Remove the decimal by multiplying by 10/10, 100/100, etc.

In this problem: Multiply by 10/10 to make the top a whole number.

12.5
100
×
10
10
=
125
1000

Step 4 - Simplify at the end.

In this problem: Divide top and bottom by 125.

125
1000
=
1
8

Final answer: 12.5% = 1/8