Выполните деление: 1) \(\frac{7}{15} : \frac{14}{25}\); 3) \(9 : \frac{27}{28}\) 2) \(\frac{8}{13} : 4\); 4) \(2 \frac{3}{9} : 1 \frac{7}{9}\).

Ответ: 1) \(\frac{5}{6}\); 2) \(\frac{2}{13}\); 3) \(\frac{5}{6}\); 4) \(\frac{5}{6}\).

1. \(\frac{7}{15} : \frac{14}{25} = \frac{7}{15} \cdot \frac{25}{14} = \frac{7 \cdot 25}{15 \cdot 14} = \frac{175}{210} = \frac{5}{6}\)
2. \(\frac{8}{13} : 4 = \frac{8}{13} : \frac{4}{1} = \frac{8}{13} \cdot \frac{1}{4} = \frac{8 \cdot 1}{13 \cdot 4} = \frac{8}{52} = \frac{2}{13}\)
3. \(9 : \frac{27}{28} = \frac{9}{1} : \frac{27}{28} = \frac{9}{1} \cdot \frac{28}{27} = \frac{9 \cdot 28}{1 \cdot 27} = \frac{252}{27} = \frac{28}{3} = 9 \frac{1}{3}\)
4. \(2 \frac{3}{9} : 1 \frac{7}{9} = \frac{2 \cdot 9 + 3}{9} : \frac{1 \cdot 9 + 7}{9} = \frac{21}{9} : \frac{16}{9} = \frac{21}{9} \cdot \frac{9}{16} = \frac{21 \cdot 9}{9 \cdot 16} = \frac{189}{144} = \frac{21}{16} = 1 \frac{5}{16}\)

Ответ: 1) \(\frac{5}{6}\); 2) \(\frac{2}{13}\); 3) \(\frac{5}{6}\); 4) \(\frac{5}{6}\).