Percentage to Fraction Calculator

Write a percentage as a fraction and simplify it. Terminating values are converted exactly: 25% is 25/100, which reduces to 1/4. Values that do not terminate, such as 100/3 percent, are shown as a practical simplified fraction (1/3) when that is a faithful representation.

Formula

Fraction = P ÷ 100, then simplify by dividing the numerator and denominator by their greatest common divisor.

Step-by-step

Write the percentage over 100. 40% is 40/100.
Find the greatest common divisor of the numerator and the denominator and divide both by it. 40/100 simplifies to 2/5.
If the percentage has decimals, clear them by multiplying the numerator and denominator by 10 as needed, then simplify. 12.5% is 125/1000, which reduces to 1/8.

Practical examples

25%

25/100 = 1/4.

12.5%

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

50% and 100%

50% is 1/2. 100% is 1/1, which is 1.

When to use this calculator

Simplifying discounts, probability statements, or homework that asks for a fraction rather than a decimal.

Common mistakes

Leaving 25% as 25/100 without simplifying.
Writing 33.3% as 333/1000 and stopping, when a practical 1/3 is usually what was meant.

Frequently asked questions

Is 33.333…% exactly 1/3?

Yes, one third as a percentage is 100/3, which is 33.333…%. The calculator uses a practical simplified fraction for that kind of value.

What about 0%?

0% is the fraction 0/1.

Percentage to Fraction Calculator