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🔢 Fractions

Percent to Fraction Calculator

Enter a percentage to convert it into a fraction in lowest terms and a decimal, with the step-by-step working shown.

% → fraction
Lowest terms
Decimal & mixed number
Step-by-step
100% Free
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Percent → fraction — Quick answer

Put the percent over 100, clear any decimal, then reduce.

fraction = percent ÷ 100, reduced to lowest terms

Worked example: 12.5% → 125/1000 → 1/8.

Examples

PercentFractionDecimal
75%3/40.75
40%2/50.4
150%3/2 (1½)1.5

Percent means "per hundred" — 75% is literally 75/100.

🔢 Percent to Fraction Calculator

Enter the percentage.

Fraction (lowest terms)
Decimal
Mixed number
As x/100

ℹ️ Fraction = percent ÷ 100, reduced. Decimal percents are cleared by multiplying top and bottom by a power of ten.

To turn a percent into a fraction, write it over 100 — because percent means parts per hundred — then reduce to lowest terms. If the percent has a decimal, first multiply the top and bottom by a power of ten to clear it. This calculator returns the reduced fraction, the decimal, and the mixed number for percents over 100.

Reviewed: June 20, 2026 · Author: Naveen P N, Founder — AI Calculator · Verified against: exact fraction reduction, recomputed in code.

The method

Percent to fraction
percent/100 → clear decimals → divide by the GCD

A whole-number percent like 75 goes straight over 100 as 75/100, then reduces by the greatest common divisor (25) to 3/4. A decimal percent like 12.5 first becomes 12.5/100; multiplying top and bottom by 10 clears the decimal to 125/1000, which reduces by 125 to 1/8. Percents above 100 produce improper fractions that can be written as mixed numbers.

Worked examples

75%:

3/4
75/100 ÷ 25/25 = 3/4

12.5% (decimal):

1/8
12.5/100 = 125/1000 ÷ 125/125 = 1/8

150% (over 100):

3/2 = 1½
150/100 ÷ 50/50 = 3/2 = 1½

Note that 0.5% becomes 5/1000 = 1/200, and a repeating value such as 33⅓% can't be recovered from a rounded 33.33 — that yields the literal 3333/10000. Enter the exact percent you mean for an exact fraction.

Frequently Asked Questions

How do I convert a percent to a fraction?

Put it over 100 and reduce. 25% = 25/100 = 1/4. Clear decimals first for 12.5% → 1/8.

What is 12.5% as a fraction?

1/8. 12.5/100 → 125/1000 → 1/8.

What is 75% as a fraction?

3/4 — 75/100 divided by 25.

How about a percent over 100?

It's improper: 150% = 3/2 = 1½.

Can every percent be an exact fraction?

Only terminating ones. 33.33% gives 3333/10000, not 1/3.

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