1. Выполните действия: а) \(\frac{4}{7}:\frac{5}{9}\); б) \(\frac{3}{8}:\frac{9}{16}\); в) \(7\frac{11}{12}:3\frac{1}{6}\); г) \(48:\frac{12}{13}\); д) \(\frac{15}{16}:5\).

1. \(\frac{4}{7}:\frac{5}{9}=\frac{4}{7}\cdot\frac{9}{5}=\frac{36}{35}=1\frac{1}{35}\).
2. \(\frac{3}{8}:\frac{9}{16}=\frac{3}{8}\cdot\frac{16}{9}=\frac{2}{3}\).
3. \(7\frac{11}{12}:3\frac{1}{6}=\frac{95}{12}:\frac{19}{6}=\frac{95}{12}\cdot\frac{6}{19}=\frac{5}{2}=2\frac{1}{2}\).
4. \(48:\frac{12}{13}=48\cdot\frac{13}{12}=52\).
5. \(\frac{15}{16}:5=\frac{15}{16}\cdot\frac{1}{5}=\frac{3}{16}\).

Ответ: а) \(1\frac{1}{35}\); б) \(\frac{2}{3}\); в) \(2\frac{1}{2}\); г) \(52\); д) \(\frac{3}{16}\).