5. $$ \frac{2p}{5q} + \frac{q}{2p} = \frac{2p \cdot 2p + q \cdot 5q}{10pq} = \frac{4p^2 + 5q^2}{10pq} $$
Ответ: $$ \frac{4p^2 + 5q^2}{10pq} $$