Multiplying and Dividing Fractions and Mixed Numbers

$$\frac{5}{32}$$

$$\frac{15}{12}$$ or $$1 \frac{1}{4}$$ or $$1 \frac{3}{12}$$

$$\frac{2}{45}$$

$$\frac{14}{27}$$

$$2\frac{1}{2}$$

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

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

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

A mixed number is a whole number combined with a fraction, such as $$1 \frac{1}{2}$$ .