\(\left(\frac{10}{13}+\frac{15}{4}\right)\cdot\frac{26}{5}\)

\(\frac{10}{13}+\frac{15}{4}=\frac{235}{52}\).

\(\frac{235}{52}\cdot\frac{26}{5}=\frac{47}{2}\).

Ответ: \(\frac{47}{2}\)