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Convert any fraction
On the defaults: 3 ÷ 4 = 0.75, which is 75% — a terminating decimal. Enter your own fraction below.
FREE TOOL · PERCENTAGE
Fraction to Decimal Chart
The fraction bar is a division sign wearing a costume. Convert any fraction instantly below — or look it up in the charts: common fractions first, then every 32nd, the way tape measures and drill bits actually go.
Common fractions, memorized once and useful forever
These are the conversions worth knowing cold — they show up in recipes, measurements, discounts, and test questions. Parentheses mark the repeating digit, so 0.1(6) means 0.1666…
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.(3) | 33.33% |
| 2/3 | 0.(6) | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
| 1/6 | 0.1(6) | 16.67% |
| 5/6 | 0.8(3) | 83.33% |
| 1/7 | 0.(142857) | 14.29% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/9 | 0.(1) | 11.11% |
| 2/9 | 0.(2) | 22.22% |
| 4/9 | 0.(4) | 44.44% |
| 5/9 | 0.(5) | 55.56% |
| 7/9 | 0.(7) | 77.78% |
| 8/9 | 0.(8) | 88.89% |
| 1/10 | 0.1 | 10% |
| 3/10 | 0.3 | 30% |
| 7/10 | 0.7 | 70% |
| 9/10 | 0.9 | 90% |
Output · formula · meaning
| Output | Formula | What it means |
|---|---|---|
| Decimal | numerator ÷ denominator | The same value in base-ten form — 3/4 = 0.75. |
| Repeating notation | digits in ( ) repeat forever | 0.1(6) means 0.1666… — the 6 never stops. |
| Percent | decimal × 100 | 3/4 = 75% — per hundred, the shop-friendly form. |
| Simplified fraction | divide top & bottom by their GCD | 6/8 reduces to 3/4 — same value, smallest numbers. |
| Terminating or repeating | denominator’s prime factors after simplifying | Only 2s and 5s → terminates; anything else → repeats. |
Worked example: 5/8 and 1/3
5/8: divide 5.000 by 8. 8 goes into 50 six times (48), remainder 2; bring down 0 → 20, two times (16), remainder 4; bring down 0 → 40, five times exactly. 0.625 — terminates, because 8 = 2³. 1/3: 3 goes into 1.0 zero times, into 10 three times (9), remainder 1 — forever. 0.333… = 0.(3) — repeats, because 3 is not a factor of 10.
Every 32nd, the way tools measure
Tape measures, drill bits, and wrenches step in 32nds of an inch — 1/32″ is the smallest mark on most tapes. This is the full chart, fraction to decimal to percent. It prints cleanly for the workshop wall.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/32 | 0.03125 | 3.13% |
| 2/32 | 0.0625 | 6.25% |
| 3/32 | 0.09375 | 9.38% |
| 4/32 | 0.125 | 12.5% |
| 5/32 | 0.15625 | 15.63% |
| 6/32 | 0.1875 | 18.75% |
| 7/32 | 0.21875 | 21.88% |
| 8/32 | 0.25 | 25% |
| 9/32 | 0.28125 | 28.13% |
| 10/32 | 0.3125 | 31.25% |
| 11/32 | 0.34375 | 34.38% |
| 12/32 | 0.375 | 37.5% |
| 13/32 | 0.40625 | 40.63% |
| 14/32 | 0.4375 | 43.75% |
| 15/32 | 0.46875 | 46.88% |
| 16/32 | 0.5 | 50% |
| 17/32 | 0.53125 | 53.13% |
| 18/32 | 0.5625 | 56.25% |
| 19/32 | 0.59375 | 59.38% |
| 20/32 | 0.625 | 62.5% |
| 21/32 | 0.65625 | 65.63% |
| 22/32 | 0.6875 | 68.75% |
| 23/32 | 0.71875 | 71.88% |
| 24/32 | 0.75 | 75% |
| 25/32 | 0.78125 | 78.13% |
| 26/32 | 0.8125 | 81.25% |
| 27/32 | 0.84375 | 84.38% |
| 28/32 | 0.875 | 87.5% |
| 29/32 | 0.90625 | 90.63% |
| 30/32 | 0.9375 | 93.75% |
| 31/32 | 0.96875 | 96.88% |
The 2s-and-5s rule: why some decimals never end
Simplify the fraction, then look at the denominator’s prime factors. If they are only 2s and 5s — 4 (2²), 8 (2³), 20 (2²×5), 32 (2⁵) — the decimal terminates, because 10 itself is 2×5. Any other prime factor (3, 7, 11, …) means the division can never finish cleanly, so the digits repeat: 1/3 = 0.333…, 1/7 = 0.142857142857…. Fractions are actually the exact form here — 1/3 is precise where 0.333 is always a hair short.
Who uses this
- Carpenters & machinists: tape measures mark 16ths and 32nds; CNC and calipers speak decimals — this chart is the translation desk.
- Cooks: scaling recipes between fractions and kitchen-scale decimals.
- Students: homework, tests, and the “which is bigger” comparison questions.
- Mechanics & DIYers: bolt sizes, socket drives, and drill bits in fractional inches.
- Shoppers & deal-hunters: turning “3/8 off” into 37.5% at a glance.
Accuracy & limitations
Decimals in the charts are exact to the digits shown — terminating values are complete, and repeating values use the standard parentheses notation (0.(3)) rather than a rounded cut. The converter detects repeating cycles up to 200 digits; cycles longer than that are shown truncated with an ellipsis. Percents in the 32nds table are rounded to two decimals. If you need more than 32nds, use the converter — it handles any numerator and denominator up to 1,000,000.
Read the full walkthrough in How to Convert a Fraction to a Decimal, or turn a decimal back into a percent with the percentage calculator.
Cite this calculatorBright Side Kit. “Fraction to Decimal Chart.” brightoolbox.com, 2026.
Bright Side Kit. "Fraction to Decimal Chart." https://brightoolbox.com/fraction-to-decimal-chart/ Accessed October 22, 2026.Frequently asked questions
How do I convert a fraction to a decimal?
Divide the top number by the bottom number. 3/4 means 3 ÷ 4 = 0.75. The fraction bar is a division sign — the converter above does the long division for you, including spotting repeating digits.
What is 1/8 as a decimal?
0.125. Eighths always end in 125, 375, 625, or 875 — 1/8 = 0.125, 3/8 = 0.375, 5/8 = 0.625, 7/8 = 0.875. It is one of the handiest patterns in the chart.
Why does 1/3 never end as a decimal?
Because 3 is not a factor of 10. Dividing 1 by 3 leaves a remainder of 1 at every step, so the 3s repeat forever: 0.333…. The fraction 1/3 is the exact form — any decimal you write is an approximation.
What do the parentheses mean, like 0.1(6)?
The digits in parentheses repeat forever. 0.1(6) = 0.16666…, the decimal form of 1/6. It is the standard mathematical notation for a repeating decimal, cleaner than writing “…”.
How do I turn a fraction into a percent?
Convert to a decimal first, then move the point two places right — multiply by 100. 3/4 → 0.75 → 75%. Every percent column in the charts above is the decimal column times 100.
What is 7/16 as a decimal?
0.4375. Sixteenths go in steps of 0.0625: 1/16 = 0.0625, so 7/16 = 7 × 0.0625 = 0.4375. Find it in the 32nds chart as 14/32.
How do I read 32nds on a tape measure?
Between each inch, the longest marks are halves, then quarters, eighths, sixteenths, and the shortest marks are 32nds. Count the 32nd-marks from the last whole inch: the 11th short mark is 11/32″ = 0.34375″. The chart above translates any of them.
Can I print this chart?
Yes — the tables use a clean print-friendly layout. Use your browser’s print function and the charts print without the site chrome, ready for the workshop wall or the classroom.