5) Найдите значение выражения \(9\frac35\cdot2\frac12-(2\frac18-1\frac5{12}):\frac14\).

\(9\frac35=\frac{48}{5}\), \(2\frac12=\frac52\), \(2\frac18=\frac{17}{8}\), \(1\frac5{12}=\frac{17}{12}\).

\[\frac{48}{5}\cdot\frac52-\left(\frac{17}{8}-\frac{17}{12}\right):\frac14=24-\left(\frac{51}{24}-\frac{34}{24}\right)\cdot4=24-\frac{17}{24}\cdot4=24-\frac{17}{6}=\frac{127}{6}=21\frac16.\]

Ответ: \(21\frac16\).