How do I convert a percent to a fraction?

Write the percent over 100, then reduce the fraction to lowest terms. For example, 25% becomes 25/100, then 1/4.

What is 12.5% as a fraction?

12.5% equals 0.125 as a decimal and 1/8 as a simplified fraction.

What is 0.5% as a fraction?

0.5% equals 0.005 as a decimal and 1/200 as a simplified fraction.

Can a percent above 100% become a mixed number?

Yes. For example, 150% equals 3/2, which can be written as 1 1/2.

Percent to Fraction Calculator

Convert a percentage to decimal form, a simplified fraction, and a mixed number when the percentage is greater than 100%.

Percentage

Examples

Rule: divide the percentage by 100 to get the decimal form, then reduce the fraction using the greatest common divisor of the numerator and denominator.

Convert a percent into decimal and fraction form

A percent means parts per 100. This calculator converts the percent to a decimal first, then reduces the fraction to lowest terms.

p % = \frac{p}{100}

p is the percentage value.

\frac{p}{100} = \frac{p \cdot 1 0 ^{d}}{100 \cdot 1 0 ^{d}}

d is the number of decimal places in the percentage input.

Examples

Percent	Decimal	Simplified fraction	Mixed number
1%	0.01	1/100	1/100
5%	0.05	1/20	1/20
12.5%	0.125	1/8	1/8
25%	0.25	1/4	1/4
33.33%	0.3333	3333/10000	3333/10000
50%	0.5	1/2	1/2
150%	1.5	3/2	1 1/2
200%	2	2/1	2
0.5%	0.005	1/200	1/200

A rounded value such as 33.33% is treated as a finite decimal percentage, not as a repeating one-third.

Common mistakes

0.5% is not 50%. Half a percent is 0.005 as a decimal and 1/200 as a fraction.
Reduce the fraction. 50% starts as 50/100, but the simplified fraction is 1/2.
Values above 100% create improper fractions. For example, 150% is 3/2 or 1 1/2.
Keep the sign. A negative percent remains negative in decimal and fraction form.

Frequently Asked Questions

Sources and References

Calculations are based on the listed reference sources. Links open in a new tab.

Updated: June 2, 2026

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