Percent to Fraction Calculator

Published on: April 28, 2024
Final Answer: Free Full Steps: Free

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 problem: write the percent.

In this problem: We start with \(75\%\).

\(75\%\)

Step 2 - Write it as a fraction over 100.

In this problem: \(75\%\) = \(\frac{75}{100}\).

\(75\% = \frac{75}{100}\)

Step 3 - Make sure the fraction uses whole numbers.

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

\(\frac{75}{100}\)

Step 4 - Simplify at the end.

In this problem: Divide top and bottom by \(25\).

\(\frac{75}{100} = \frac{3}{4}\)

Final answer: \(75\% = \frac{3}{4}\)

Example 2: \(12.5\%\)

Step 1 - Set up the problem: write the percent.

In this problem: We start with \(12.5\%\).

\(12.5\%\)

Step 2 - Write it as a fraction over 100.

In this problem: \(12.5\%\) = \(\frac{12.5}{100}\).

\(12.5\% = \frac{12.5}{100}\)

Step 3 - If the percent has decimals, multiply by 10/10, 100/100, etc. until the top is a whole number.

In this problem: Multiply by \(\frac{10}{10}\) to make the top a whole number.

\(\frac{12.5}{100} \times \frac{10}{10} = \frac{125}{1000}\)

Step 4 - Simplify at the end.

In this problem: Divide top and bottom by \(125\).

\(\frac{125}{1000} = \frac{1}{8}\)

Final answer: \(12.5\% = \frac{1}{8}\)