Ответ:

\(4-3\frac{7}{22}=4-\frac{73}{22}=\frac{88}{22}-\frac{73}{22}=\frac{15}{22}\).

\(\frac{9}{8}\cdot\frac{15}{22}=\frac{135}{176}\).

\(\frac{7}{30}+\frac{135}{176}-\frac{11}{6}=\frac{616+2025-9680}{2640}=-\frac{7039}{2640}=-2\frac{1759}{2640}\).

Ответ: \(-2\frac{1759}{2640}\).