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How to get there: divide the numerator by the denominator — 1 ÷ 8 = 0.125.
All the eighths converted, since this is usually a companion lookup
| Fraction | Decimal |
|---|---|
| 1/8 | 0.125 |
| 2/8 (= 1/4) | 0.25 |
| 3/8 | 0.375 |
| 4/8 (= 1/2) | 0.5 |
| 5/8 | 0.625 |
| 6/8 (= 3/4) | 0.75 |
| 7/8 | 0.875 |
| 8/8 (= 1) | 1.0 |
Why eighths convert to a clean, terminating decimal: 8 is a power of 2 (2³), and any fraction whose denominator is only made of 2s and/or 5s converts to a terminating decimal rather than a repeating one — which is why 1/8, 1/4, and 1/2 all give exact, clean decimals, unlike 1/3 (0.333...) where the denominator includes a 3.
As a percentage, for reference: 1/8 = 12.5%.
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Frequently Asked Questions
What is 1/8 as a decimal and a percentage?
0.125 as a decimal, and 12.5% as a percentage.
Why does 1/8 convert to an exact decimal instead of repeating?
Because 8 is a power of 2, and fractions whose denominator is built only from 2s and 5s always convert to a terminating decimal rather than a repeating one.