2.495. Найдите значение выражения: а) \(\frac{4}{5}:1\frac{1}{3}+2\frac{1}{3}\cdot\frac{3}{7}-1:1\frac{3}{8}\); б) \(2\frac{1}{6}:(1\frac{1}{15}-\frac{1}{5})+(2\frac{1}{8}+\frac{3}{4}):5\frac{3}{4}\); в) \((\frac{1}{4}+1\frac{11}{14})\cdot\frac{14}{57}-\frac{2}{3}:1\frac{1}{6}\cdot\frac{7}{32}\); г) \((2\frac{1}{2}:3\frac{1}{3}+3\frac{1}{3}:2\frac{1}{2})\cdot9\frac{3}{5}\); д) \((10\frac{5}{13}-7\frac{23}{26}):\frac{5}{6}\); е) \(((1\frac{1}{2})^3-\frac{3}{4}):\frac{7}{8}\).

1. а) \(\frac{4}{5}:\frac{4}{3}+\frac{7}{3}\cdot\frac{3}{7}-1:\frac{11}{8}=\frac{3}{5}+1-\frac{8}{11}=\frac{48}{55}\).
2. б) \(\frac{13}{6}:\left(\frac{16}{15}-\frac{1}{5}\right)+\left(\frac{17}{8}+\frac{3}{4}\right):\frac{23}{4}=\frac{13}{6}:\frac{13}{15}+\frac{23}{8}:\frac{23}{4}=\frac{5}{2}+\frac{1}{2}=3\).
3. в) \(\left(\frac{1}{4}+\frac{25}{14}\right)\cdot\frac{14}{57}-\frac{2}{3}:\frac{7}{6}\cdot\frac{7}{32}=\frac{53}{114}-\frac{1}{8}=\frac{155}{456}\).
4. г) \(\left(\frac{5}{2}:\frac{10}{3}+\frac{10}{3}:\frac{5}{2}\right)\cdot\frac{48}{5}=\left(\frac{3}{4}+\frac{4}{3}\right)\cdot\frac{48}{5}=20\).
5. д) \(\left(\frac{135}{13}-\frac{205}{26}\right):\frac{5}{6}=\frac{35}{13}\cdot\frac{6}{5}=\frac{42}{13}=3\frac{3}{13}\).
6. е) \(\left(\left(\frac{3}{2}\right)^3-\frac{3}{4}\right):\frac{7}{8}=\left(\frac{27}{8}-\frac{6}{8}\right)\cdot\frac{8}{7}=3\).

Ответ: а) \(\frac{48}{55}\); б) 3; в) \(\frac{155}{456}\); г) 20; д) \(3\frac{3}{13}\); е) 3.