Multiplying & Dividing fractions 5th

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

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

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

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

To share equally means to divide something into equal parts so that each person receives the same amount.

You have $$\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$ of the pizza left.

The result is $$\frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}$$ .

You can cut 15 pieces, since $$3 \div \frac{1}{5} = 3 \times 5 = 15$$ .

Each friend gets $$\frac{4}{5}$$ of an apple.

You will have 16 sections, since $$4 \div \frac{1}{4} = 4 \times 4 = 16$$ .