How does decimal to fraction conversion work?

The tool finds the equivalent fraction and automatically simplifies it to the lowest terms.

What decimals can be converted?

Any terminating decimal can be converted to a fraction. Repeating decimals may be approximated.

Yes, this tool is completely free and works directly in your browser.

Convert between decimals and fractions.

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0.5 = 1/2

0.25 = 1/4

0.75 = 3/4

0.33 ≈ 1/3

0.125 = 1/8

0.2 = 1/5

The decimal is multiplied by a power of 10 to create a whole numerator. The denominator is the same power of 10. For 0.75: 75/100.

The GCD (Greatest Common Divisor) of numerator and denominator is found using Euclid's algorithm. Both are divided by GCD: 75/100 → 3/4.

Simple division: numerator ÷ denominator = decimal. JavaScript handles the arithmetic automatically with floating-point precision.

Results display up to 8 decimal places to capture repeating decimals (1/3 = 0.33333333) while keeping output readable.

The tool validates that the denominator isn't zero before calculating, preventing mathematical errors.

Convert 0.25 cups to 1/4 cup or vice versa. Work with measurements in your preferred format.

Check fraction-to-decimal conversions for homework. Verify that 3/8 = 0.375 or simplify 75/100 to 3/4.

Convert decimal measurements to fractional inches. 0.625 inches = 5/8 inch for standard tape measures.

Convert decimal percentages to fractions. 0.125 (12.5%) = 1/8 for ratio and proportion work.

Understand note durations: a quarter note (1/4) equals 0.25 of a whole note. Calculate complex rhythms.

Express proportions and ratios as either decimals or fractions depending on the context and audience.