7) Вычислите: \(\frac{9}{14}\cdot\left(\frac{17}{24}-\frac{5}{12}\right)\).

\[\frac{9}{14}\cdot\left(\frac{17}{24}-\frac{5}{12}\right)=\frac{9}{14}\cdot\left(\frac{17}{24}-\frac{10}{24}\right)=\frac{9}{14}\cdot\frac{7}{24}=\frac{3}{16}.\]

Ответ: \(\frac{3}{16}\).