Fraction to Decimal Converter
Convert any fraction to a decimal (and a percentage), with the simplified form.
100% freeNo sign-up Your inputs stay in your browserPrivacy
Enter a numerator and a denominator to convert a fraction into a decimal. The converter also shows the percentage and the fraction reduced to its lowest terms.
It even flags whether the decimal repeats (like 1/3 = 0.333…), so you know when a value won't terminate.
📖 Read the guide: Converting Fractions to Decimals (and When They Repeat)
Formula
Fraction to decimal
numerator ÷ denominator = decimal
Divide the top number by the bottom number. Example: 3 ÷ 4 = 0.75.
Fraction to percent
(numerator ÷ denominator) × 100 = percent
Convert the decimal to a percentage by multiplying by 100. Example: 3/4 = 75%.
Examples
| Example | Input | Result |
|---|---|---|
| Terminating | 3 / 4 | 0.75 · 75% |
| Repeating | 1 / 3 | 0.3333… (repeats) |
| Simplifies | 8 / 12 | 0.6667 · 2/3 |
How to use the fraction to decimal converter
- 1Enter the numerator (the top number).
- 2Enter the denominator (the bottom number).
- 3Read the decimal, percentage, and simplified fraction; copy any of them.
How to convert a fraction to a decimal
A fraction is just a division: the numerator divided by the denominator. So 3/4 means 3 ÷ 4 = 0.75, and 7/8 means 7 ÷ 8 = 0.875. To turn the result into a percentage, multiply by 100.
Some fractions produce a decimal that repeats forever. 1/3 is 0.3333…, and 2/7 is 0.285714285714…. A fraction terminates (ends) only when its denominator, in lowest terms, has no prime factors other than 2 and 5 — otherwise the decimal repeats.
Simplifying fractions
Reducing a fraction to lowest terms means dividing the numerator and denominator by their greatest common divisor. 8/12 simplifies to 2/3 because both share a factor of 4. The simplified form makes the value easier to read and compare.
Frequently asked questions
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For 3/4, calculate 3 ÷ 4 = 0.75.
How do I know if a decimal will repeat?
Reduce the fraction to lowest terms. If the denominator's only prime factors are 2 and 5, the decimal terminates; otherwise it repeats.
How do I turn a fraction into a percentage?
Convert it to a decimal, then multiply by 100. 3/4 = 0.75 = 75%.
Is my input stored?
Not on our servers. The conversion runs in your browser and nothing is uploaded. Your last inputs are saved in this browser's local storage so you don't have to retype them.
Embed this calculator
Add the Fraction to Decimal Converter to your own website — free. Copy and paste this snippet:
<iframe src="https://numvella.com/embed/fraction-to-decimal" width="100%" height="460" style="border:1px solid #e2e8f0;border-radius:12px" title="Fraction to Decimal Converter — Numvella" loading="lazy"></iframe>