1.41. Вычислите рациональным способом: А) \(11\cdot5\frac{3}{22}\); Б) \(3\frac{6}{7}\cdot42\); В) \(24\cdot1\frac{5}{96}\); Г) \(13\cdot1\frac{7}{65}\); Д) \(41\frac{3}{5}\cdot9\).

1. \(11\cdot5\frac{3}{22}=11\cdot\frac{113}{22}=\frac{113}{2}=56\frac{1}{2}\).
2. \(3\frac{6}{7}\cdot42=\frac{27}{7}\cdot42=27\cdot6=162\).
3. \(24\cdot1\frac{5}{96}=24\cdot\frac{101}{96}=\frac{101}{4}=25\frac{1}{4}\).
4. \(13\cdot1\frac{7}{65}=13\cdot\frac{72}{65}=\frac{72}{5}=14\frac{2}{5}\).
5. \(41\frac{3}{5}\cdot9=\frac{208}{5}\cdot9=\frac{1872}{5}=374\frac{2}{5}\).

Ответ: А) \(56\frac{1}{2}\); Б) \(162\); В) \(25\frac{1}{4}\); Г) \(14\frac{2}{5}\); Д) \(374\frac{2}{5}\).