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Convert any decimal
On the default, 0.75: 3/4 — three quarters, 75%. Enter your own decimal below.
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Decimal to Fraction Converter
Type any decimal — 0.75, 2.4, 0.125 — and get the exact fraction in lowest terms, the mixed number, and the percent. The calculator reads the decimal aloud the way you would say it, then simplifies with the greatest common divisor.
How the converter works: read it aloud
Every decimal is a fraction wearing a disguise, and the disguise comes off the moment you read the number out loud. 0.75 is “seventy-five hundredths” — so it is 75/100. 0.125 is “one hundred twenty-five thousandths” — 125/1000. 2.4 is “two and four tenths” — 24/10, or 2 4/10. Then the converter divides the top and bottom by their greatest common divisor: 75/100 ÷ 25/25 = 3/4, 125/1000 ÷ 125/125 = 1/8, 24/10 ÷ 2/2 = 12/5 = 2 2/5.
Output · formula · meaning
| Output | Formula | What it means |
|---|---|---|
| Simplest fraction | decimal as fraction ÷ GCD/GCD | 0.75 → 75/100 ÷ 25 → 3/4 — the smallest numbers with the same value. |
| Mixed number | whole + remaining fraction | 2.4 → 2 2/5 — the carpenter-and-cook-friendly form. |
| Percent | decimal × 100 | 0.75 → 75% — the shop-friendly form. |
| GCD used | Euclid’s algorithm on both parts | The largest number dividing both top and bottom — dividing by it simplifies in one step. |
Worked examples: 0.75 and 2.375
0.75: “seventy-five hundredths” → 75/100. The GCD of 75 and 100 is 25 (both end in 5 or 0, so try 5, then 25). 75 ÷ 25 = 3, 100 ÷ 25 = 4 → 3/4. 2.375: “two and three hundred seventy-five thousandths” → 2375/1000. The GCD is 125 (2375 = 125 × 19, 1000 = 125 × 8) → 19/8 = 2 3/8, the classic tape-measure fraction.
The repeating-decimal trap
Here is the one case where “read it aloud” needs care. If you type 0.333, the converter honestly returns 333/1000 — because the number you typed is finite. But if you meant 0.333… (the threes never stop), the true answer is 1/3. A typed decimal can never express a repeater, so for 0.3̄ use the algebra: let x = 0.333…, then 10x = 3.333…, so 10x − x = 3, 9x = 3, x = 3/9 = 1/3. The step-by-step guide works through 0.1666… = 1/6 the same way.
Who uses this
- Students: homework and test questions that demand “write as a fraction in lowest terms.”
- Carpenters & machinists: calipers and CNC readouts speak decimal — drill bits and tapes speak fractions.
- Cooks: scaling a recipe from 0.5 cup back to the 1/2 the cookbook means.
- Engineers: exact fractional forms for tolerances and ratios that decimals only approximate.
Accuracy & limitations
The converter works from the text you type, not the floating-point approximation, so 0.1 + 0.2 style rounding errors never appear. Up to 12 decimal places are accepted — beyond that, round first. Percents are shown to four decimal places. Typed decimals are always finite: 0.333 means 333/1000, never 1/3 — genuine repeating decimals need the algebra in the guide. Results are exact for every input within range.
Going the other direction? The fraction to decimal chart converts any fraction — with repeating-digit notation and every 32nd — and the fraction simplifier reduces any fraction to lowest terms.
Cite this calculatorBright Side Kit. “Decimal to Fraction Converter.” brightoolbox.com, 2026.
Bright Side Kit. "Decimal to Fraction Converter." https://brightoolbox.com/decimal-to-fraction-converter/ Accessed October 22, 2026.Frequently asked questions
How do I convert a decimal to a fraction?
Read it aloud, write the place value, simplify. 0.75 is “seventy-five hundredths” → 75/100 → divide top and bottom by 25 → 3/4. The converter above does all three steps instantly.
What is 0.75 as a fraction?
3/4. Seventy-five hundredths = 75/100, and the greatest common divisor of 75 and 100 is 25, so 75 ÷ 25 = 3 and 100 ÷ 25 = 4.
What is 2.4 as a fraction?
2 2/5 (twelve fifths). Two and four tenths = 24/10, simplify by 2 → 12/5, and 12/5 = 2 2/5 as a mixed number.
What is 0.125 as a fraction?
1/8. One hundred twenty-five thousandths = 125/1000; the GCD is 125, so it collapses neatly to 1/8 — one of the handiest workshop fractions.
Why did the calculator turn 0.333 into 333/1000 instead of 1/3?
Because the number you typed is finite — 0.333 stops after three digits, so its honest fraction is 333/1000. If you meant 0.333… with threes forever, the answer is 1/3, but no typed decimal can say that. Use the algebra in the guide for true repeaters.
How do you simplify a fraction?
Find the greatest common divisor of the top and bottom and divide both by it. For 75/100, the GCD is 25, giving 3/4. Euclid’s algorithm finds it fast: replace the larger number with its remainder when divided by the smaller, and repeat until the remainder is zero.
What is 0.5 as a fraction?
1/2. Five tenths = 5/10, divide by the GCD of 5 → 1/2.
How do I go back from a fraction to a decimal?
Divide the top by the bottom — or use the fraction to decimal chart, which shows repeating-digit notation (0.1(6) = 0.1666…) and a full 32nds table.