Ответ:

\(\frac{5}{8}\cdot\frac{2}{5}=\frac{1}{4}\).

\(\frac{2}{9}+\frac{1}{4}=\frac{8}{36}+\frac{9}{36}=\frac{17}{36}\).

\(\frac{3}{4}\cdot\frac{17}{36}=\frac{17}{48}\).

Ответ: \(\frac{17}{48}\).