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Percent to Fraction

Convert percentages to fractions. Get simplified fractions from any percentage.

Convert any percentage to a fraction. Write the percent over 100, then simplify to get the fraction in lowest terms.

Try:

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How to Use

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Enter the percentage value
Click "Convert to Fraction"
View the simplified fraction
See the step-by-step simplification

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What is Percent to Fraction?

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Converting a percentage to a fraction involves putting the percentage over 100 and simplifying. For example, 75% becomes 75/100, which simplifies to 3/4 when both numbers are divided by their GCD (25).

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Formula

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Formula:

1. Write the percentage as a fraction over 100

2. Find the GCD of numerator and denominator

3. Divide both by the GCD to simplify

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Examples

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50% = 50/100 = 1/2
25% = 25/100 = 1/4
75% = 75/100 = 3/4
20% = 20/100 = 1/5
33.33% ≈ 1/3

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FAQ

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How do I convert a decimal percentage like 12.5%?expand_more

Multiply both parts to eliminate the decimal: 12.5% = 12.5/100 = 125/1000, then simplify to get 1/8.

What if the percentage doesn't simplify nicely?expand_more

Some percentages result in fractions that can't be simplified much. For example, 37% = 37/100 stays as is since 37 is prime.

Can I convert percentages over 100%?expand_more

Yes! Percentages over 100% convert to improper fractions. For example, 150% = 150/100 = 3/2.