Decimal to Fraction Converter
Convert any decimal to a fraction instantly. Enter a decimal to get the fraction in lowest terms, a mixed number, and the reducing steps explained.
Updated 2026-06-14 · Free · No sign-up · Runs privately in your browser
Show the steps
How the Decimal to Fraction Converter Works
This tool turns a decimal number into a fraction in lowest terms, plus a mixed number when the value is greater than 1. Enter any terminating decimal and it shows the simplified fraction along with the reducing steps.
The Method
To convert a terminating decimal to a fraction:
- Write the decimal over a power of 10 that matches the number of decimal places.
- Divide both the top and bottom by their greatest common divisor (GCD) to reduce.
For example, two decimal places means the denominator is 100; three places means 1000, and so on.
Worked Example
Convert 0.625 to a fraction:
- It has three decimal places, so write it as 625/1000.
- The GCD of 625 and 1000 is 125.
- Divide both by 125: 625 ÷ 125 = 5 and 1000 ÷ 125 = 8.
- So 0.625 = 5/8.
Common Decimals as Fractions
| Decimal | Fraction |
|---|---|
| 0.1 | 1/10 |
| 0.25 | 1/4 |
| 0.5 | 1/2 |
| 0.625 | 5/8 |
| 0.75 | 3/4 |
| 1.5 | 3/2 (1 1/2) |
When Decimals and Fractions Differ
This converter handles terminating decimals exactly. Repeating decimals such as 0.333… are technically equal to fractions like 1/3, but they must be entered with enough digits or recognised as a repeating pattern. Truly irrational numbers like π or √2 cannot be written as an exact fraction. Converting decimals to fractions is useful for cooking measurements, woodworking, exact arithmetic, and any time a fraction is clearer than a decimal.
Frequently asked questions
How do you convert a decimal to a fraction?+
Write the decimal over a power of 10 matching the number of decimal places, then reduce. For 0.75, that is 75/100, which simplifies to 3/4.
What is 0.5 as a fraction?+
0.5 as a fraction is 1/2. Written over 10 it is 5/10, which reduces to 1/2 after dividing both by 5.
What is 0.625 as a fraction?+
0.625 equals 5/8. Over a power of ten it is 625/1000, and dividing both by their greatest common divisor of 125 gives 5/8.
How do you write a decimal greater than 1 as a fraction?+
Convert the whole part and the decimal part, then combine. For example 2.25 becomes 2 and 1/4, or the improper fraction 9/4.
Can every decimal be written as a fraction?+
Every terminating or repeating decimal is a fraction. This tool handles terminating decimals exactly; non-repeating, non-terminating numbers like pi cannot be written as an exact fraction.