Multiplying Fractions with Fractions

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

To multiply two fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

$$\frac{1}{2} \times \frac{3}{4} = \frac{3}{8}$$ .

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

$$\frac{6}{9} = \frac{2}{3}$$ after dividing both the numerator and denominator by 3.

$$\frac{2}{5} \times \frac{3}{10} = \frac{6}{50} = \frac{3}{25}$$ after simplifying.

$$\frac{7}{10} \times \frac{3}{4} = \frac{21}{40}$$ .

$$\frac{2}{9} \times \frac{3}{4} = \frac{6}{36} = \frac{1}{6}$$ after simplifying.

$$\frac{1}{8} \times \frac{3}{5} = \frac{3}{40}$$ .

$$\frac{2}{10} \times \frac{2}{9} = \frac{4}{90} = \frac{2}{45}$$ after simplifying.