Reference · Equivalents
Decimal to Fraction Chart
Updated: June 2026
Some decimals come up so often that it is worth recognising their fraction on sight. This chart collects the common equivalents in lowest terms — the ones behind money, measurements, recipes and test questions — so you can convert by memory instead of by long division.
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The everyday decimals
| Decimal | Fraction |
|---|---|
| 0.5 | 1/2 |
| 0.25 | 1/4 |
| 0.75 | 3/4 |
| 0.2 | 1/5 |
| 0.4 | 2/5 |
| 0.1 | 1/10 |
| 0.125 | 1/8 |
| 0.375 | 3/8 |
| 0.625 | 5/8 |
| 0.875 | 7/8 |
Halves, quarters and eighths cover most of daily life. Notice the pattern in the eighths: each is an odd multiple of 0.125, so they all end in 5.
The repeating ones
Thirds, sixths, sevenths and ninths never terminate, so their decimals carry a repeating block. These are the values most people get wrong when they round too early.
| Decimal | Fraction |
|---|---|
| 0.(3) | 1/3 |
| 0.(6) | 2/3 |
| 0.1(6) | 1/6 |
| 0.8(3) | 5/6 |
| 0.(142857) | 1/7 |
| 0.(1) | 1/9 |
| 0.(09) | 1/11 |
Keep the repeating notation when accuracy matters. 0.33 is not 1/3; it is 33/100, a slightly different number.
How to use the chart
When you meet a decimal, scan the terminating table first. If it is not there, check whether the digits repeat — that points you to the second table. If it matches neither, the value is probably a rounded version of a nearby fraction, and the converter's “closest fraction” mode will find it.
- Terminating and short → first table.
- Digits repeat → second table.
- Long and rounded → use the closest-fraction tool.
Building your own intuition
Every value in these tables is built from a few unit fractions. Once you know 1/8 = 0.125, you can derive 3/8, 5/8 and 7/8 by multiplying. Once you know 1/3 = 0.(3), two-thirds is just double. Rather than memorising dozens of rows, learn the handful of unit fractions and generate the rest on demand.
Why these particular fractions
The fractions here dominate because their denominators are small and friendly — powers of two for measurement, and 3, 5, 6 and 10 for money and proportions. Larger or stranger denominators rarely appear in everyday contexts, which is exactly why a short chart covers so much ground. For anything outside it, the converter handles the arithmetic exactly.
Frequently asked questions
What is 0.375 as a fraction?
0.375 is 375/1000, which simplifies to 3/8.
Why is 0.33 not exactly 1/3?
0.33 is 33/100, a terminating decimal. One third is the repeating decimal 0.333…, which is slightly larger.
How do I find a fraction not on the chart?
Write the decimal over the matching power of ten and simplify, or use the converter, which handles any value exactly.