02/02/24 Friyay Multiplying and Dividing Fractions Warm Up

The total weight is $$4 \frac{1}{2}$$ pounds.

$$\frac{1}{2}$$ of a pie divided into 8 parts gives everyone $$\frac{1}{16}$$ of a pie.

Miguel will need 3 cups of chocolate syrup.

The expression is 3 x $$\frac{1}{5}$$ .

The answer is $$\frac{1}{32}$$ .

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

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

The reciprocal of $$\frac{a}{b}$$ 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 combines a whole number and a fraction, like $$2 \frac{1}{2}$$ .