Decimal to Fraction Calculator
Easily convert decimals to fractions with our decimal to fraction calculator. Accurate decimal-to-fraction conversion made simple.
Fraction3/8exact
Mixed number3/8
Error0no rounding
Percentage37.5%
Best fraction at each denominator limit
| Denominator | Fraction | Error |
|---|---|---|
| ≤ 2 | 1/2 | 0.125 |
| ≤ 4 | 1/3 | -0.0416666667 |
| ≤ 8 | 3/8 | 0 |
| ≤ 16 | 3/8 | 0 |
| ≤ 32 | 3/8 | 0 |
| ≤ 64 | 3/8 | 0 |
| ≤ 100 | 3/8 | 0 |
| ≤ 1000 | 3/8 | 0 |
The method
expand as a continued fraction, then reduce
The rules in one place
- Adding and subtracting needs a common denominator first. The lowest common denominator keeps the numbers smallest, but any common denominator works.
- Multiplying needs no common denominator at all — multiply across the top and across the bottom.
- Dividing means multiplying by the reciprocal: flip the second fraction and multiply.
- Reducing divides top and bottom by their greatest common divisor. It never changes the value.
Why lowest terms matter
6/8 and 3/4 are the same number, but 3/4 is easier to compare, easier to check and conventional in an answer. Reducing also keeps later arithmetic small: multiplying unreduced fractions makes the numbers grow fast, and cancelling first avoids that.