Multiplying and Dividing Fractions - Review

$$\frac{5}{6}$$

$$\frac{3}{32}$$

$$\frac{8}{27}$$

$$\frac{4}{9}$$

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

A fraction represents a part of a whole and is expressed as $$\frac{a}{b}$$ where $$a$$ is the numerator and $$b$$ is the denominator.

Multiplying fractions involves multiplying the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

To divide fractions, multiply by the reciprocal of the divisor: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ .

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ .

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).