Percent to Fraction Calculator

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Percent to Fraction Calculator

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Answer:

$= \frac{5}{8}$ Showing Work:

$62.5\% = \frac{62.5}{100}$

$= 0.625$

$= \frac{0.625}{1} \times \frac{1000}{1000}$

$= \frac{625}{1000}$

$= \frac{5}{8}$

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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 percentage by 100 to get a decimal number.
Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction.
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 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

$\dfrac{35.5}{100} = 0.355$

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

$\dfrac{0.355}{1}$

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

$\dfrac{0.355}{1}\times \dfrac{1000}{1000}= \dfrac{355}{1000}$

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

$\dfrac{355 \div 5}{1000 \div 5}= \dfrac{71}{200}$

Therefore,

$35.5\% = \dfrac{71}{200}$

Related Calculators

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