Decimal to Fraction Calculator
Convert a decimal to a fraction in simplest form, with the mixed number and the steps.
Decimal to Fraction Calculator
What This Decimal to Fraction Calculator Does
A decimal is already a fraction in disguise - you just read the place value. 0.75 is “75 hundredths,” which is 75/100, and that simplifies to 3/4. The number of decimal places tells you the denominator: tenths, then hundredths, then thousandths, and so on.
So the recipe is: put the digits over the right power of 10, then simplify. Type a decimal and the tool does both, and shows a mixed number when the decimal is bigger than 1.
How to Convert a Decimal to a Fraction
- Write the decimal over a power of 10 (one zero per decimal place).
- Simplify by dividing the top and bottom by their greatest common divisor.
For example, , and dividing both by 25 gives .
How to Use It
- Enter a decimal (for example, 0.75 or 1.25).
- Read the simplified fraction, plus the mixed number when the value is above 1.
Worked Examples
| Decimal | Over a power of 10 | Simplest form |
|---|---|---|
| 0.5 | 5/10 | 1/2 |
| 0.75 | 75/100 | 3/4 |
| 0.2 | 2/10 | 1/5 |
| 0.125 | 125/1000 | 1/8 |
| 1.25 | 125/100 | 5/4 = 1 1/4 |
FAQ
How do you convert a decimal to a fraction?
Write the decimal over a power of 10 (one zero per decimal place), then simplify. For 0.75: , which reduces to .
How are repeating decimals handled?
This tool converts the exact digits you type, so a typed becomes , not . For a true repeating decimal, round to the fraction you intend.
What is 0.5 as a fraction?
.
Can it give a mixed number?
Yes. Decimals above 1, like 1.25, are shown both as an improper fraction () and a mixed number ().