Fraction to Decimal Converter
Convert fractions to decimals and decimals to fractions instantly, with automatic reduction to lowest terms.
Converting between fractions and decimals
A fraction and a decimal are two ways to represent the same rational number. To convert a fraction to a decimal, divide the numerator by the denominator. The converter also reduces the fraction to its lowest terms first, so 2/4 becomes 1/2 before computing 0.5. To go the other way, enter a decimal and the tool finds the simplest fraction with the same value by finding the smallest denominator that reproduces the decimal exactly (up to eight decimal places of precision).
Both conversions run instantly in your browser. Negative values are supported. Fractions with a denominator of zero are flagged as errors.
FAQ
What does "reduced to lowest terms" mean? It means both the numerator and denominator are divided by their greatest common divisor so no further reduction is possible. For example, 6/8 reduces to 3/4.
What about repeating decimals like 1/3? 1/3 = 0.3333... The decimal display shows the computed floating-point value. When converting back from 0.333... it returns the closest reduced fraction within eight decimal places of precision.
Can I enter a mixed number? Not directly. Convert the whole part: for 2 and 3/4, compute 3/4 = 0.75 then add 2 to get 2.75, or use the decimal-to-fraction mode with 2.75.