Convert fraction ↔ decimal
Choose a conversion direction, enter your value, and get a clean decimal, percent, and simplified fraction instantly.
Convert fractions to decimals (and decimals to simplified fractions) instantly. Great for homework, cooking, measurements, and quick math checks.
Choose a conversion direction, enter your value, and get a clean decimal, percent, and simplified fraction instantly.
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This calculator converts between fractions and decimals in both directions. It uses two core ideas:
A fraction is “division in disguise.” To convert a/b into a decimal, you divide the numerator by the denominator:
Example: 3/8 → 3 ÷ 8 = 0.375 → 37.5%.
To turn a decimal into a fraction, the calculator finds a fraction that’s as close as possible to the decimal, while keeping the denominator under your chosen cap (Max denominator slider). This is useful because many decimals are approximations (especially repeating decimals).
Internally, the tool searches for a simplified fraction p/q where q ≤ maxDen and p/q is closest to your decimal.
The Decimal places slider controls how many digits you see in the output. Lower values give a clean, “presentation-ready” number; higher values keep more precision for math and engineering.
If your decimal repeats forever (like 0.3333…), there isn’t one “perfect” terminating decimal, but there is an exact fraction (1/3). This tool helps you land on that fraction by allowing a higher max denominator.
Want a fast mental check? If the denominator only has factors of 2 and 5 (like 2, 4, 5, 8, 10, 20), the decimal will terminate. Otherwise, it often repeats.
2/3 is a repeating decimal: 0.666666… forever. The calculator rounds it based on the “Decimal places” slider. Increase precision to see more 6’s.
The tool finds a simplified fraction that best matches your decimal while keeping the denominator under “Max denominator.” Higher max denominators allow closer matches for tricky decimals.
The selected mode decides which input is used. If you want the other direction, hit “Swap.”
Yes. You can convert negative fractions and decimals as expected.
No. Everything runs in your browser (fast and private).
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MaximCalculator provides simple, user-friendly tools. Always treat results as entertainment and double-check any important numbers elsewhere.