Вычислите: \(\frac{8}{15}\cdot\left(\frac{7}{8}+\frac{11}{16}\right)\).

\[\frac{7}{8}+\frac{11}{16}=\frac{14}{16}+\frac{11}{16}=\frac{25}{16}.\]

\[\frac{8}{15}\cdot\frac{25}{16}=\frac{25}{30}=\frac{5}{6}.\]

Ответ: \(\frac{5}{6}\).