Fraction ↔ Decimal Converter
Both directions, live — with the percent form thrown in.
Edit either side — the other follows.
Common fractions chart
| Fraction | Decimal | Percent |
|---|---|---|
| 1/8 | 0.125 | 12.5% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333 | 33.3% |
| 3/8 | 0.375 | 37.5% |
| 1/2 | 0.5 | 50% |
| 5/8 | 0.625 | 62.5% |
| 2/3 | 0.667 | 66.7% |
| 3/4 | 0.75 | 75% |
| 7/8 | 0.875 | 87.5% |
How this is calculated
decimal = numerator ÷ denominator · reverse: search the simplest fraction within rounding distance
Worked example: 3/8 = 0.375 = 37.5%. Going backwards, 0.375 recovers 3/8 exactly, and a truncated 0.333 sensibly recovers 1/3 — the simplifier prefers the fraction you meant over the one the rounding literally spells.
Frequently asked questions
How do I turn a fraction into a decimal?
Divide the top by the bottom: 3 ÷ 8 = 0.375. The calculator does this live, and also shows the percentage form (37.5%) since the three notations are the same value dressed differently.
How does decimal to fraction work?
The calculator searches for the simplest fraction within rounding distance of your decimal — 0.375 returns 3/8, and 0.333 returns 1/3 rather than 333/1000, because 1/3 is what a rounded 0.333 almost always means.
What about repeating decimals like 0.666…?
Type what you have (0.666 or 0.6667) and the simplifier recognizes 2/3. Exact repeating notation carries more information than a cut-off decimal, which is why the reverse direction is a search rather than pure arithmetic.
What are the common kitchen fractions as decimals?
1/8 = 0.125, 1/4 = 0.25, 1/3 ≈ 0.333, 3/8 = 0.375, 1/2 = 0.5, 5/8 = 0.625, 2/3 ≈ 0.667, 3/4 = 0.75, 7/8 = 0.875 — the chart below the calculator carries the full set.