UtilityBaseCalculators
Fraction to Decimal Converter
Convert any fraction to a decimal with step-by-step long division and automatic repeating-decimal detection.
Updated July 10, 2026
How to use the fraction to decimal converter
- 1Enter the numerator and denominator (and a whole number for mixed numbers).
- 2Read the decimal, with repeating digits shown in parentheses.
- 3Follow the long-division steps to see how it's derived.
- 4Switch tabs to convert a decimal back into a fraction.
Common uses
- Turning a measurement fraction into a decimal
- Homework showing the long-division steps
- Spotting whether a fraction repeats or terminates
- Converting a price or rate fraction to decimal
Frequently asked questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For 3/8, that is 3 ÷ 8 = 0.375. When the division doesn't end, the digits repeat — 1/3 is 0.333… — and this tool marks the repeating part in parentheses as 0.(3).
What is a repeating decimal?
A repeating decimal is one where a digit or block of digits recurs forever, like 0.8333… for 5/6. It happens when the denominator has prime factors other than 2 and 5. The converter detects the cycle and shows it as 0.8(3).
Can it convert a decimal back to a fraction?
Yes. Switch to the Decimal → Fraction tab, enter a terminating decimal like 0.75, and it returns the reduced fraction — 3/4 — along with the unreduced form. Repeating decimals typed as digits are approximated by the digits you enter.
About this tool
The fraction to decimal converter divides the numerator by the denominator to give the exact decimal, and shows the long division one digit at a time so you can follow the work. It automatically detects repeating decimals — 1/3 becomes 0.(3) and 5/6 becomes 0.8(3), with the recurring digits marked in parentheses — and labels each result as terminating or repeating. It also converts decimals back to fractions in lowest terms. Mixed numbers and negatives are supported, and everything is computed in your browser.
Like most tools on UtilityBase, the fraction to decimal converter runs entirely in your browser — nothing you enter is uploaded or stored on a server. It's free to use with no account required. Browse more calculators here.
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