Fraction, Decimal & Percent Converter
Enter any one form — a decimal, a fraction, or a percent — and get the other two, with the fraction fully reduced and every step shown.
About this calculator
Pick which form you are entering, then type the value. The converter builds an exact fraction (reducing it with the greatest common divisor), then expresses the same value as a decimal and a percent. When a fraction has a repeating decimal expansion, the decimal is marked as approximate (≈).
How fractions, decimals and percents relate
A fraction a/b, a decimal, and a percent are three notations for the same value. To turn a fraction into a decimal you divide the numerator by the denominator; to turn a decimal into a percent you multiply by 100. Going from a decimal back to a fraction, you write the digits over the matching power of ten (0.75 = 75/100) and reduce by the greatest common divisor (75/100 = 3/4). A fraction terminates as a decimal only when its reduced denominator has no prime factors other than 2 and 5 — otherwise the decimal repeats and is shown as an approximation.