5. Выполните деление смешанных чисел, предварительно представив их в виде неправильных дробей: 1) \(1\frac{3}{15}:5\frac{7}{9}\); 2) \(3\frac{8}{13}:4\frac{4}{9}\); 3) \(8\frac{4}{7}:3\frac{2}{5}\); 4) \(3\frac{7}{11}:1\frac{14}{33}\).

1. \(1\frac{3}{15}=\frac{18}{15}\), \(5\frac{7}{9}=\frac{52}{9}\).
   \[\frac{18}{15}:\frac{52}{9}=\frac{18\cdot9}{15\cdot52}=\frac{27}{130}.\]
2. \(3\frac{8}{13}=\frac{47}{13}\), \(4\frac{4}{9}=\frac{40}{9}\).
   \[\frac{47}{13}:\frac{40}{9}=\frac{47\cdot9}{13\cdot40}=\frac{423}{520}.\]
3. \(8\frac{4}{7}=\frac{60}{7}\), \(3\frac{2}{5}=\frac{17}{5}\).
   \[\frac{60}{7}:\frac{17}{5}=\frac{60\cdot5}{7\cdot17}=\frac{300}{119}=2\frac{62}{119}.\]
4. \(3\frac{7}{11}=\frac{40}{11}\), \(1\frac{14}{33}=\frac{47}{33}\).
   \[\frac{40}{11}:\frac{47}{33}=\frac{40\cdot33}{11\cdot47}=\frac{120}{47}=2\frac{26}{47}.\]

Ответ: 1) \(\frac{27}{130}\); 2) \(\frac{423}{520}\); 3) \(2\frac{62}{119}\); 4) \(2\frac{26}{47}\).