Decimal to Fraction Calculator
This decimal to fraction calculator turns any decimal into a clean, simplified fraction. Type a number like 0.75 and you'll get 3/4 right away, with the mixed number, the percent, and the steps that got you there. It handles repeating decimals too, so 0.333… becomes exactly 1/3, not a rounded guess.
- Terminating decimals
- Repeating decimals
- Mixed number
- GCF steps shown
- Conversion chart
Last updated June 16, 2026 over a power of ten, then reduce Reviewed by the Calcowa math team
Reading as 0.333…
Enter a valid decimal above.
Negatives are fine. For a repeating decimal, put the digits that repeat in the second box.
How do you convert a decimal to a fraction?
A decimal is already a fraction in disguise, so converting one means reading the place value and reducing. Each digit after the decimal point is a tenth, hundredth, or thousandth, which is what sets the denominator, and you don't need to guess it. Put the digits over that power of ten, then divide the top and bottom by their greatest common factor, and you've got the simplest fraction. That's the whole job, and it works for any terminating decimal.
Converting 0.75 step by step
Here's how the calculator turns 0.75 into a fraction. It's the same method for any terminating decimal:
- 1
Count the decimal places0.75 has two digits after the point, so the denominator is 100.
- 2
Write it as a fractionThe decimal becomes 75/100, since 0.75 is seventy-five hundredths.
- 3
Find the greatest common factorThe largest number that divides both 75 and 100 is 25.
- 4
Divide both by the GCF75 ÷ 25 = 3 and 100 ÷ 25 = 4, so 0.75 = 3/4 in lowest terms.
Converting a repeating decimal to a fraction
A repeating decimal like 0.333… never ends, so the place-value trick alone won't finish the job. The fix is a neat piece of algebra: a single repeating digit goes over 9, two repeating digits over 99, three over 999, and so on. So 0.3 repeating is 3/9, which reduces to 1/3, and 0.27 repeating is 27/99 = 3/11. Switch to the repeating mode above, enter the part before the repeat and the digits that repeat, and you'll get the exact fraction with the steps, so you don't run the algebra by hand. It isn't a rounded value; the fraction equals the decimal precisely.
What is 0.5 as a fraction?
0.5 as a fraction is 1/2. It has one digit after the point, so it starts as 5/10, and dividing both numbers by 5 reduces it to 1/2. A few more you'll see often: 0.25 is 1/4, 0.2 is 1/5, 0.125 is 1/8, and 0.75 is 3/4. The chart just below gathers the common conversions in one place, so you won't redo them.
Decimal to fraction chart
The common decimals and their fractions, ready to grab when you don't want to work it out.
| Decimal | Fraction | Decimal | Fraction |
|---|---|---|---|
| 0.1 | 1/10 | 0.125 | 1/8 |
| 0.2 | 1/5 | 0.25 | 1/4 |
| 0.333… | 1/3 | 0.375 | 3/8 |
| 0.4 | 2/5 | 0.5 | 1/2 |
| 0.6 | 3/5 | 0.625 | 5/8 |
| 0.666… | 2/3 | 0.75 | 3/4 |
| 0.8 | 4/5 | 0.875 | 7/8 |
| 0.9 | 9/10 |
Going the other way? The fraction to decimal calculator converts back, and the simplify fractions calculator reduces a fraction you already have.
Frequently asked questions
What is 0.125 as a fraction?
0.125 as a fraction is 1/8. It has three decimal places, so it starts as 125/1000, and the greatest common factor of 125 and 1000 is 125, which reduces it straight to 1/8.
Write the decimal over 1, then multiply the top and bottom by 10 for each digit after the point, and reduce. For 0.75 that's 75/100, and dividing both by 25 gives 3/4. The number of decimal places tells you the starting denominator: one place is over 10, two places over 100, three over 1000. This decimal to fraction calculator does each step and shows the working, so you'll see exactly how it reduces.
0.5 as a fraction is 1/2. There's one digit after the point, so it starts as 5/10, and dividing the top and bottom by 5 reduces it to 1/2. The same method turns 0.25 into 1/4 and 0.2 into 1/5. Type any decimal above and you'll get the reduced fraction at once.
Use the repeating mode and enter the part before the repeat and the digits that repeat. For 0.3 repeating, the fraction is 3/9, which reduces to 1/3. The math sets the repeating block over a string of 9s: a single repeating digit goes over 9, two over 99, and so on, minus the non-repeating part. The tool handles that algebra for you.
0.333... with the 3 repeating forever is exactly 1/3. One repeating digit goes over a single 9, so 0.3 repeating is 3/9 = 1/3. In the same way 0.666... is 6/9 = 2/3, and 0.142857 repeating is 1/7. These aren't approximations; the repeating decimal and the fraction are the same number.
Split off the whole-number part, convert the decimal part, then combine. It's simpler than it looks: for 2.75, keep the 2 and turn 0.75 into 3/4, giving the mixed number 2 3/4, or the improper fraction 11/4. The calculator shows both the mixed number and the improper fraction whenever the decimal's bigger than 1.
Yes, for the values you meet a lot it's faster than working it out. The chart below lists the common ones, like 0.25 = 1/4, 0.5 = 1/2, and 0.125 = 1/8. For anything that isn't on the chart, or for a repeating decimal, the calculator above gives the exact fraction with the steps.
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