Simplify Fractions to Lowest Terms

This page opens the calculator in simplify mode: enter any fraction and it is reduced to lowest terms immediately, with the exact reasoning shown — the greatest common divisor of numerator and denominator, and the division that produces the reduced form. For 42/56 you see GCD(42, 56) = 14, so 42/56 = 3/4.

Simplification is the workhorse of fraction arithmetic: every add-and-multiply exercise ends with "…and reduce the result". The GCD is found by the Euclidean algorithm — repeatedly replacing the larger number with the remainder of the division — which is fast even for large numerators. If the fraction is already in lowest terms, the calculator says so explicitly.

Improper fractions get the extra step people usually want: 22/8 reduces to 11/4 and is also shown as the mixed number 2 3/4 and the decimal 2.75. Enter a whole part if you have one, use negative values freely, and everything — reduction, mixed form, decimal — updates live without leaving your browser.