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Fraction to Decimal Calculator
Type a fraction like 5/7 or a mixed number like 2 3/4. You get the exact decimal with the repeating part marked, a rounded value, the percent and the long-division working.
Examples: 3/8 · 1 3/4 · -11/6 · 22/7 · 2.5/4
Enter your values to see the result.
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How to use the Fraction to Decimal Calculator
- Type the fraction, such as 3/8, or a mixed number such as 1 3/4.
- Choose decimal places for the rounded value.
- Press Convert, or just keep typing; results update live.
- Read the exact decimal: digits in brackets repeat forever.
- Check the long-division steps to see where the repetition starts.
How fraction to decimal conversion works
A fraction a/b means a ÷ b. Long division gives the decimal one digit at a time: multiply the remainder by 10, divide by b, write down the digit, keep the new remainder. Because there are only b − 1 possible non-zero remainders, the remainder either reaches 0 (the decimal terminates) or repeats (the decimal repeats from that point).
Example, 5/12: 5 ÷ 12 = 0 r 5 → 50 ÷ 12 = 4 r 2 → 20 ÷ 12 = 1 r 8 → 80 ÷ 12 = 6 r 8 → remainder 8 repeats, so 5/12 = 0.41(6) = 0.41666…
Common fractions as decimals
| Fraction | Decimal | Percent | Fraction | Decimal | Percent |
|---|---|---|---|---|---|
| 1/2 | 0.5 | 50% | 1/8 | 0.125 | 12.5% |
| 1/3 | 0.(3) | 33.33% | 3/8 | 0.375 | 37.5% |
| 2/3 | 0.(6) | 66.67% | 5/8 | 0.625 | 62.5% |
| 1/4 | 0.25 | 25% | 7/8 | 0.875 | 87.5% |
| 3/4 | 0.75 | 75% | 1/9 | 0.(1) | 11.11% |
| 1/5 | 0.2 | 20% | 1/10 | 0.1 | 10% |
| 1/6 | 0.1(6) | 16.67% | 1/11 | 0.(09) | 9.09% |
| 1/7 | 0.(142857) | 14.29% | 1/12 | 0.08(3) | 8.33% |
| 1/16 | 0.0625 | 6.25% | 1/32 | 0.03125 | 3.125% |
Going the other way? The decimal to fraction calculator turns 0.375 or 0.(3) back into a fraction.
Frequently asked questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For 3/8, 3 ÷ 8 = 0.375. For a mixed number, convert the fraction part and add the whole number: 2 3/4 = 2 + 0.75 = 2.75.
How do I know if a fraction gives a repeating decimal?
Simplify the fraction first. If the denominator's only prime factors are 2 and 5, the decimal terminates (like 7/20 = 0.35). Any other prime factor, such as 3, 7 or 11, makes it repeat.
What does 0.(3) mean?
The digits in brackets repeat forever, so 0.(3) = 0.333… = 1/3, and 0.1(6) = 0.1666… = 1/6. It is the same as writing a bar over the repeating digits.
What is 1/3 as a decimal?
1/3 = 0.333…, written 0.(3). Rounded to two decimal places it is 0.33, and as a percent it is 33.33…%.
How long can the repeating part be?
For a denominator d the repeating block has at most d − 1 digits. 1/7 repeats every 6 digits (142857) and 1/97 every 96 digits. The calculator finds the full period exactly.
How do I convert a fraction to a percent?
Convert it to a decimal and multiply by 100. 5/8 = 0.625, so it is 62.5%.
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