# Percent to Fraction Calculator

## Calculator Use

This online calculator converts a percent to a fraction. If the percent value is greater than 100% it is converted into a mixed number fraction. Enter percents to convert them into fractions. The number you enter can also have decimal places as in 3.5% or 0.625%.

To convert a percent to a fraction you first convert the percent to a decimal then use the same procedure as converting a decimal to fraction.

## How to Convert a Percent to Fraction

- Divide the percent by 100 to change the percent to a decimal.
- Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).
- Convert the decimal to a whole number with multiplication: Count how many places are to the right of the decimal. If you have x decimal places then multiply numerator and denominator by 10
^{x}. - 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.
- Simplify the remaining fraction to a mixed number fraction if possible.

### Example: Convert 35.5% to a fraction

1. Divide by 100

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

3. Multiply numerator and denominator by by 10^{3} = 1000 to remove 3 decimal places

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

Therefore,

## Related Calculators

To convert a fraction to a percent see the Fraction to Percent Calculator.

**Cite this content, page or calculator as:**

Furey, Edward "Percent to Fraction Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.