5) $$ \frac{a}{b} : \frac{a^2-ab}{b^2} = \frac{a}{b} \cdot \frac{b^2}{a^2-ab} = \frac{a \cdot b^2}{b(a^2-ab)} = \frac{ab}{a^2-ab} = \frac{ab}{a(a-b)} = \frac{b}{a-b} $$
Ответ: $$ \frac{b}{a-b} $$