Percent to fraction calculator
This percent to fraction calculator writes the percent over 100 and reduces to lowest terms. Typing 75 returns 3/4.
- Write as a fraction over 10075/100
- Reduce to lowest terms3/4
How to convert a percent to a fraction
Percent means "per hundred", so a percent is already a fraction with a denominator of 100 — it just isn't usually written that way. Writing it that way, then reducing, is the whole method.
- Write the percent as a fraction over 100:
75/100. - Reduce to lowest terms:
3/4.
A percent with a decimal point, like 12.5, gets one extra step first: scale both the percent and the 100 up by the same power of ten until the decimal clears, then reduce as usual.
Worked examples
A whole-number percent
20/100 reduces to 1/5.
A percent with a decimal point
12.5/100 has one digit past the point, so both sides scale up by ten first — 125/1000 — before reducing to 1/8.
A percent over 100%
150/100 reduces to 3/2, an improper fraction — larger than one whole, the same way the percent is larger than 100%.
Common values
Click a percent to load it into the calculator above.
| Percent | Fraction |
|---|---|
| 1/2 | |
| 3/4 | |
| 1/5 | |
| 1/8 | |
| 3/8 | |
| 3/5 |
Where people get it wrong
Writing the percent over 100 is the easy part; stopping there is the mistake.50/100 is a correct fraction, but it isn't the answer — 1/2 is. Every fraction this calculator returns is already reduced, precisely so it never leaves that step undone.
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Frequently asked questions
How do you convert a percent to a fraction?
Write it over 100 — that's what "percent" means, per hundred — then reduce to lowest terms. A percent with a decimal point clears the decimal first, the same way any decimal-over-100 fraction does.
Why does reducing matter here?
Writing a percent over 100 always works, but it rarely lands in lowest terms on its own. 50/100 is correct but not reduced; 1/2 is the same value, simplified. Skipping the reduction step is the most common mistake on this page.
What about a percent that includes a decimal, like 12.5%?
The decimal gets cleared before reducing: 12.5/100 becomes 125/1000 once both sides are scaled up to whole numbers, then that reduces the normal way.
Can a percent over 100% convert to a fraction?
Yes — it converts to a fraction larger than 1, the same way any percent does. 150% becomes 3/2, an improper fraction, not an error.
Is the fraction this calculator returns always in lowest terms?
Yes — reducing is the final step every time, not an optional extra. The fraction shown is never a form that could still be simplified further.