## Thinking Mathematically (6th Edition)

$\dfrac{10}{3}$
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$ Use the rule above: $\frac{5}{4} \cdot \frac{8}{3}$ Cancel the common factors: $\require{cancel} \\=\dfrac{5}{\cancel{4}} \cdot \dfrac{\cancel{8}2}{3}$ Multiply the numerators together and the denominators together: $=\dfrac{5(2)}{1(3)} \\=\dfrac{10}{3}$