5. Найдите значение выражения: 1) 9 1/4 · 8 − 1 2/3 · 5 1/2 − 2 4/5 · 2 11/12; 2) 2 1/22 · 3 2/3 − (2 5/6 + 3 5/6 · 7/23) · 3/5.

1)

\[9\frac{1}{4}\cdot8-1\frac{2}{3}\cdot5\frac{1}{2}-2\frac{4}{5}\cdot2\frac{11}{12}\]

\[=\frac{37}{4}\cdot8-\frac{5}{3}\cdot\frac{11}{2}-\frac{14}{5}\cdot\frac{35}{12}\]

\[=74-\frac{55}{6}-\frac{49}{6}=74-\frac{104}{6}=\frac{170}{3}=56\frac{2}{3}.\]

2)

\[2\frac{1}{22}\cdot3\frac{2}{3}-\left(2\frac{5}{6}+3\frac{5}{6}\cdot\frac{7}{23}\right)\cdot\frac{3}{5}\]

\[=\frac{45}{22}\cdot\frac{11}{3}-\left(\frac{17}{6}+\frac{23}{6}\cdot\frac{7}{23}\right)\cdot\frac{3}{5}\]

\[=\frac{15}{2}-\left(\frac{17}{6}+\frac{7}{6}\right)\cdot\frac{3}{5}=\frac{15}{2}-4\cdot\frac{3}{5}=\frac{15}{2}-\frac{12}{5}=\frac{51}{10}=5\frac{1}{10}.\]

Ответ: 1) \(56\frac{2}{3}\); 2) \(5\frac{1}{10}\).