0.375
3/8.
Decimal to fraction calculator
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A decimal is turned into the exact fraction of its digits and then simplified, so 0.375 is 375/1000 = 3/8. For rounded repeating decimals such as 0.3333, the nearest simple fraction with a denominator up to 100 is also shown.
Convert
Fraction
3/8
0.375 = 375/1000, which simplifies to 3/8.
- Mixed number
- 3/8
- Nearest simple fraction
- 3/8
- Percent
- 37.5%
Common fractions
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50.00% |
| 1/3 | 0.(3) | 33.33% |
| 2/3 | 0.(6) | 66.67% |
| 1/4 | 0.25 | 25.00% |
| 3/4 | 0.75 | 75.00% |
| 1/5 | 0.2 | 20.00% |
| 1/8 | 0.125 | 12.50% |
| 3/8 | 0.375 | 37.50% |
| 5/8 | 0.625 | 62.50% |
| 7/8 | 0.875 | 87.50% |
| 1/16 | 0.0625 | 6.25% |
Moving between decimals and fractions
Every terminating decimal is a fraction with 10, 100, 1,000 or another power of ten underneath. The work is in simplifying it. 0.375 has three decimal places, so it is 375/1000. Both numbers divide by 125, giving 3/8.
When the top is bigger than the bottom, you can also write a mixed number. 2.75 is 275/100 = 11/4, which is 2 whole and 3/4 left over, so 2 3/4.
Rounded repeating decimals need care. 0.3333 is exactly 3333/10000, but it is almost always a rounded 1/3. The tool shows both: the exact fraction of what you typed and the nearest simple fraction with a denominator up to 100.
Going the other way, divide the top by the bottom. Some fractions end, like 3/8 = 0.375. Others repeat for ever, because the remainders cycle. 1/7 gives 0.142857 then the same six digits again, written 0.(142857).
Sources
What this calculator does not account for
- Nearest simple fraction uses denominators up to 100.
- Repeating decimals show up to 60 digits.
How this is calculated
Formula: Decimal to fraction
fraction =digits ÷ 10^(decimal places), then divide top and bottom by their greatest common divisorWhat the symbols mean
- digitsThe decimal written without the point: 0.375 → 375.
- 10^(places)1 followed by as many zeros as there are decimal places: 1,000.
Good to know
- Fraction to decimal is long division; when a remainder repeats, the digits repeat.
- To add or multiply fractions, use the fraction calculator.
Read the full methodologyFound an error? Contact us
Worked examples
Each example is worked out by the same code as the calculator above.
2.75
11/4, or 2 3/4.
1/7
0.(142857).
Embed this calculator
The frame shows the tool only.
<iframe src="/embed/decimal-to-fraction-calculator" title="Decimal to fraction" width="100%" height="720" style="border:0;max-width:42rem" loading="lazy"></iframe>Questions
How do I convert a decimal to a fraction?
Write the decimal over 1 followed by a zero for each decimal place, then simplify. 0.375 = 375/1000 = 3/8.
What is 2.75 as a fraction?
11/4, or 2 3/4 as a mixed number.
What is 0.3333 as a fraction?
Exactly, it is 3333/10000. If it is a rounded 0.333… then it is 1/3, which the tool shows as the nearest simple fraction.
What is 1/7 as a decimal?
0.142857142857…, written 0.(142857) because the six digits repeat forever.
How do I turn a fraction into a percentage?
Divide the top by the bottom and multiply by 100. 3/8 = 0.375 = 37.5%.