2.1. Найти значение выражения: (3 1/4+2 1/6):2 3/5−2/3⋅2 1/4+5 1/6.

\(3\frac14=\frac{13}{4}\), \(2\frac16=\frac{13}{6}\), \(2\frac35=\frac{13}{5}\), \(2\frac14=\frac94\), \(5\frac16=\frac{31}{6}\).

\(\left(\frac{13}{4}+\frac{13}{6}\right):\frac{13}{5}=\frac{65}{12}\cdot\frac5{13}=\frac{25}{12}\).

\(\frac23\cdot\frac94=\frac32\).

\(\frac{25}{12}-\frac32+\frac{31}{6}=\frac{25}{12}-\frac{18}{12}+\frac{62}{12}=\frac{69}{12}=\frac{23}{4}=5\frac34\).

Ответ: \(5\frac34\).