Example: $\frac{2}{3} \times \frac{4}{5} = \frac{8}{15}$

With Mixed Numbers

Convert to improper fractions first!

$2\frac{1}{3} \times 1\frac{1}{2} = \frac{7}{3} \times \frac{3}{2} = \frac{21}{6} = \frac{7}{2} = 3\frac{1}{2}$

Dividing Fractions

Rule: Multiply by the reciprocal (flip the second fraction)

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Example: $\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} = 1\frac{7}{8}$

Reciprocal

The reciprocal of a fraction is obtained by flipping it:

• Reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$
• Reciprocal of $5 = \frac{5}{1}$ is $\frac{1}{5}$

$= \frac{5 \times 3}{6 \times 2} = \frac{15}{12}$

Simplify (divide by 3): $\frac{15}{12} = \frac{5}{4} = 1\frac{1}{4}$

Answer: $1\frac{1}{4}$

Convert to improper fraction: $2\frac{2}{3} = \frac{8}{3}$

Multiply: $\frac{8}{3} \times \frac{3}{4} = \frac{24}{12} = 2$

Answer: 2 cups of flour