Решите: \(3\frac{1}{3}\cdot\left(\frac{1}{8}-\frac{5}{2}\right)+8:1\frac{1}{7}\).

\[3\frac{1}{3}\cdot\left(\frac{1}{8}-\frac{5}{2}\right)+8:1\frac{1}{7}=\frac{10}{3}\cdot\left(\frac{1}{8}-\frac{20}{8}\right)+8:\frac{8}{7}\]

\[=\frac{10}{3}\cdot\left(-\frac{19}{8}\right)+8\cdot\frac{7}{8}=-\frac{95}{12}+7=-\frac{11}{12}\]

Ответ: \(-\frac{11}{12}\).