Convert any decimal to a fraction with steps — including repeating decimals. Get the simplified fraction, mixed number, percent, and nearest fraction.
Tap an example, or enter your own decimal.
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Turning a decimal into a fraction is quick once you know the trick. For a terminating decimal like 0.625, you write the digits over a power of ten (625/1000) and simplify to 5/8. For a repeating decimal like 0.333…, a little algebra puts the repeating digits over 9s (3/9 = 1/3). This calculator does both: enter any decimal — terminating or repeating — and it shows the simplified fraction with step-by-step working, plus the mixed number, the percentage, and the nearest common fraction (like 1/16) for cooking and woodworking measurements. No signup, and it works in English and Spanish.
Every decimal represents a fraction. A terminating decimal has a finite number of digits, so it's simply those digits over the matching power of ten, reduced to lowest terms: 0.75 = 75/100 = 3/4, and 0.625 = 625/1000 = 5/8. A repeating decimal (one with a digit or block that goes on forever, like 0.333… or 0.1666…) is converted with algebra: set x equal to the decimal, multiply by a power of ten to line up the repeating part, subtract, and solve — which always lands the repeating block over a string of 9s. For example, 0.333… = 3/9 = 1/3, and 0.142857142857… = 142857/999999 = 1/7. To simplify any fraction, divide the numerator and denominator by their greatest common divisor (GCD). Common conversions worth memorizing: 0.5 = 1/2, 0.25 = 1/4, 0.2 = 1/5, 0.125 = 1/8, 0.625 = 5/8, 0.375 = 3/8, and 0.333… = 1/3.
Decimal to Fraction Formula
Convert decimals to fractions and show the working for class.
Turn 0.75 cup into 3/4, or round to a handy fraction.
Convert a decimal inch to the nearest 1/16 or 1/32.
See that 0.333… is exactly 1/3, with the algebra to prove it.
Connect a decimal, its fraction, and its percent in one view.
Look up common conversions like 0.625 or 0.375 in a tap.
Handles both kinds of decimals — including repeating ones like 0.333… that most converters can't.
Shows the power-of-ten setup, the algebra for repeating decimals, and the GCD simplification.
Also gives the mixed number, the percent, and the GCD used — not just one answer.
Round to the nearest 1/8, 1/16, 1/32, or 1/64 for cooking, woodworking, and machining.
Type a decimal and get the fraction immediately — no signup, no ads-only paywall.
Built for students, with the steps to understand the conversion, not just copy it.
Write the decimal's digits over the matching power of ten, then simplify. For 0.625, that's 625/1000; dividing both by their greatest common divisor (125) gives 5/8. This calculator does the arithmetic and shows each step.
0.625 = 625/1000, which simplifies to 5/8. The number has three decimal places, so it goes over 1000, and the greatest common divisor of 625 and 1000 is 125.
Use algebra: set x equal to the decimal, multiply by 10 raised to the number of repeating digits, subtract the original, and solve. The repeating block ends up over a string of 9s — for example, 0.333… = 3/9 = 1/3. Switch this calculator to 'Repeating' mode and it does this automatically.
Yes. The repeating decimal 0.333… (the 3 repeating forever) is exactly 1/3 — not an approximation. The algebra confirms it: if x = 0.333…, then 10x = 3.333…, so 9x = 3 and x = 1/3.
A terminating decimal ends after a finite number of digits (0.625, 0.5). A repeating decimal has a digit or block that continues forever (0.333…, 0.142857…). They use slightly different conversion methods, and this calculator handles both.
Divide the numerator and denominator by their greatest common divisor (GCD). For 625/1000, the GCD is 125, giving 5/8. This calculator finds the GCD and shows the simplified result automatically.
Set 'Round To' to the precision you need — typically 1/16 for general work or 1/32 for finer measurements. For example, 0.4375 inch is exactly 7/16, while 0.3 inch rounds to 5/16 (the nearest 1/16). Useful for woodworking, machining, and construction.
0.75 = 75/100 = 3/4. Two decimal places put it over 100, and the greatest common divisor of 75 and 100 is 25, giving three-quarters.