Convert any decimal, including repeating decimals, to a fraction.
Enter 0.625 in the decimal to fraction calculator and you get 5/8, in simplest form, with every step shown. When the value is bigger than 1, you also get the mixed number. It handles terminating decimals such as 0.625 and 2.75, and repeating decimals such as 0.333… and 0.1666…. Each conversion comes with the working, so you can see exactly how the answer was found.
How to Use the Decimal to Fraction Calculator
- Type your decimal in the Decimal box, for example 0.625, 2.75 or −1.2.
- If the decimal repeats forever, use the Repeating digits box:
- For 0.1666…, type 0.1 in the first box and 6 in the second.
- For 0.272727…, type 0. in the first box and 27 in the second.
- Read the fraction, the mixed number (if any) and the steps.
How to Convert a Decimal to a Fraction
Terminating decimals
- Write the decimal over 1.
- Multiply the top and bottom by 10 for every digit after the decimal point.
- Simplify by dividing both by their greatest common factor.
For 0.625: 0.625 = 625/1000. The greatest common factor of 625 and 1000 is 125, so 625/1000 = 5/8.
Repeating decimals
For x = 0.272727…, the two digits 27 repeat. Multiply by 100: 100x = 27.2727…. Subtract the original: 99x = 27, so x = 27/99 = 3/11.
The calculator does this for any length of repeating block, and also for decimals with a non-repeating part first, such as 0.1666….
Decimal to Fraction Examples
- 0.625 = 625/1000 = 5/8
- 2.75 = 275/100 = 11/4 = 2 3/4
- 0.333… (3 repeating) = 3/9 = 1/3
- 0.1666… (0.1 then 6 repeating) = 1/6
- 0.272727… (27 repeating) = 3/11
- −1.2 = −12/10 = −6/5, or −1 1/5
Common Decimals as Fractions
| 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 |
| 0.5 | 1/2 |
| 0.625 | 5/8 |
| 0.666… | 2/3 |
| 0.75 | 3/4 |
| 0.875 | 7/8 |
Where Decimal to Fraction Conversion Comes Up
- Measuring: tape measures and drill bits in inches use fractions such as 5/8 and 3/16, while plans and digital tools often show decimals. A plan that says 0.3125 in means a 5/16 in bit.
- Cooking: recipes use 1/3 and 3/4 cups, not 0.333 and 0.75.
- Maths homework: many questions ask for answers as fractions in simplest form.
Going the Other Way
- To go the other way, from a fraction to a decimal, use the fraction to decimal calculator.
- To add, subtract, multiply or divide the fractions you get, use the fraction calculator.
- To reduce a fraction you already have, use the simplify fractions calculator.
Decimal to Fraction FAQs
What is 0.625 as a fraction?
0.625 is 5/8. It is 625/1000 simplified by dividing the top and bottom by 125.
Can every decimal be written as a fraction?
Every terminating or repeating decimal can. Decimals that never end and never repeat, such as π or √2, are irrational and have no exact fraction. The calculator can only give an approximation for those if you type a rounded value.
What if I type a rounded value like 0.33?
You get 33/100, because that is exactly what 0.33 means. To get 1/3, enter 0. and a repeating digit of 3.
How we checked this page: every conversion on this page, including the repeating decimals, was checked by dividing the fraction back out and comparing it with the calculator.