Dividing Fractions

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide $$\frac{a}{b}$$ by $$\frac{c}{d}$$ , calculate $$\frac{a}{b} \times \frac{d}{c}$$ .

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ . It is obtained by flipping the numerator and denominator.

$$\frac{5}{8}$$ .

$$\frac{9}{10}$$ .

$$\frac{2}{4}$$ or simplified to $$\frac{1}{2}$$ .

$$\frac{8}{9}$$ .

$$\frac{8}{9}$$ .

Dividing by a fraction is equivalent to multiplying by its reciprocal. For example, dividing by $$\frac{1}{2}$$ is the same as multiplying by 2.

The first step is to find the reciprocal of the second fraction.

$$\frac{a}{b} \times \frac{d}{c}$$ .