Ответ:

\(4\frac{1}{4}=\frac{17}{4}\), \(2\frac{7}{10}=\frac{27}{10}\), \(3\frac{1}{8}=\frac{25}{8}\).

\(\frac{17}{4}:\left(\frac{27}{10}-\frac{25}{8}\right)=\frac{17}{4}:\left(-\frac{17}{40}\right)=\frac{17}{4}\cdot\left(-\frac{40}{17}\right)=-10\).

Ответ: \(-10\).