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# Percent to Fraction Calculator

Percent to Fraction Calculator

%
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

1. Divide the percent by 100 to change the percent to a decimal.
2. Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).
3. 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 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

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

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.

Cite this content, page or calculator as:

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

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