Divide Fractions Calculator

About this calculator

Dividing one fraction by another follows the keep-change-flip method: keep the first fraction as it is, change the division sign to multiplication, and flip (take the reciprocal of) the second fraction — so a/b divided by c/d becomes a/b multiplied by d/c. The result is then simplified by dividing the numerator and denominator by their greatest common divisor.

This method works because dividing by a number is mathematically identical to multiplying by its reciprocal, the same principle behind the reciprocal calculator; it is one of the core skills taught in elementary and middle-school arithmetic, and it underlies later topics like solving rational equations and simplifying complex fractions in algebra.

Enter the numerator and denominator of both fractions, and this calculator performs the division and returns the result in fully simplified form.