FractionDecimal to fraction
Type a decimal, get the fraction in lowest terms. The digits you type are taken as exact
— 0.375 is 3/8, full stop. For a decimal that repeats, put the repeating block in
parentheses: 0.(3) is 1/3.
Try:
Carries everything you have entered.
Common decimals as fractions
| Decimal | Fraction |
|---|---|
| 0.5 | 1/2 |
| 0.25 | 1/4 |
| 0.375 | 3/8 |
| 0.625 | 5/8 |
| 0.0625 | 1/16 |
| 0.125 | 1/8 |
| 0.75 | 3/4 |
| 0.875 | 7/8 |
| 0.3125 | 5/16 |
The full set is on the fraction–decimal chart. For a decimal that came off a calculator already rounded, try rational approximation instead.
Common questions
- How do I turn a decimal into a fraction?
- Write the digits after the point over a power of ten, then reduce. 0.375 has three digits, so it is 375/1000; dividing top and bottom by their GCD of 125 gives 3/8.
- What about a repeating decimal like 0.333…?
- A repeating decimal needs its own notation: type 0.(3) and the repeating block converts exactly to 1/3. Typed as 0.333, it is exactly 333/1000 — which is what you wrote, so that is what you get.
- Why did my calculator decimal give an ugly fraction?
- Because the decimal was already rounded. 0.6667 is exactly 6667/10000, not 2/3. If you want the simplest fraction near a rounded value, use the rational approximation tool, which shows candidates and their errors instead of guessing.