Determine the identity of the two fractions that require division. For instance, suppose you're given the problem (2/7) / (1/2) = x.
Find the reciprocal, or inverse of either of the two fractions. The inverse is found by reversing the position of the number and denominator. The reciprocal of (1/2) is (2/1).
Multiply the reciprocal by the other fraction. The product of two fractions is obtained by multiplying the numerators and denominators respectively: (2/7) * (2/1) = (4/7).
Reduce the quotient if it is not in lowest terms. In the example, the fraction, 4/7, is already in lowest terms; therefore, it is the final answer.