Answer
$\dfrac{20}{13}$
Work Step by Step
RECALL:
$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$
Use the rule above to have:
$=\dfrac{5x}{9y} \times \dfrac{36y}{13x}$
Cancel out the common factors, and then multiply to obtain:
$\require{cancel}
\\=\dfrac{5\cancel{x}}{\cancel{9y}} \times \dfrac{\cancel{36y}4}{13\cancel{x}}
\\=\dfrac{5}{1} \cdot \dfrac{4}{13}
\\=\dfrac{20}{13}$
