Fraction to Decimal Converter
Convert any fraction to a decimal (and a percentage), with the simplified form.
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)
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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%.
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.
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 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?
No. The conversion runs in your browser; nothing is sent anywhere.
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>