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

1) \(\frac{7}{15}: \frac{14}{25}=\frac{7}{15}\cdot \frac{25}{14}=\frac{7\cdot 25}{15\cdot 14}=\frac{1\cdot 5}{3\cdot 2}=\frac{5}{6}\)

2) \(\frac{8}{13}: 4=\frac{8}{13}: \frac{4}{1}=\frac{8}{13}\cdot \frac{1}{4}=\frac{8\cdot 1}{13\cdot 4}=\frac{2\cdot 1}{13\cdot 1}=\frac{2}{13}\)

3) \(9: \frac{27}{28}=\frac{9}{1}: \frac{27}{28}=\frac{9}{1}\cdot \frac{28}{27}=\frac{9\cdot 28}{1\cdot 27}=\frac{1\cdot 28}{1\cdot 3}=\frac{28}{3}=9\frac{1}{3}\)

4) \(2\frac{2}{9}: 1\frac{7}{9}=\frac{2\cdot 9 + 2}{9}: \frac{1\cdot 9 + 7}{9}=\frac{20}{9}: \frac{16}{9}=\frac{20}{9}\cdot \frac{9}{16}=\frac{20\cdot 9}{9\cdot 16}=\frac{5\cdot 1}{1\cdot 4}=\frac{5}{4}=1\frac{1}{4}\)

Ответ: 1) \(\frac{5}{6}\); 2) \(\frac{2}{13}\); 3) \(9\frac{1}{3}\); 4) \(1\frac{1}{4}\)