9. Выполните действия: а) \(\frac{4}{7}\cdot14\); б) \(\frac{2}{3}\cdot\frac{9}{8}\); в) \(\frac{6}{7}\cdot\frac{7}{12}\cdot\frac{5}{3}\); г) \(\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot12\); д) \(\frac{2}{7}:\frac{2}{9}\); е) \(\frac{5}{8}:\frac{7}{12}\); ж) \(\frac{9}{14}:\frac{18}{35}\); з) \(\frac{4}{7}:4\); и) \(1:\frac{5}{13}\).

1. \(\frac{4}{7}\cdot14=8\).
2. \(\frac{2}{3}\cdot\frac{9}{8}=\frac{3}{4}\).
3. \(\frac{6}{7}\cdot\frac{7}{12}\cdot\frac{5}{3}=\frac{5}{6}\).
4. \(\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot12=6\).
5. \(\frac{2}{7}:\frac{2}{9}=\frac{2}{7}\cdot\frac{9}{2}=\frac{9}{7}=1\frac{2}{7}\).
6. \(\frac{5}{8}:\frac{7}{12}=\frac{5}{8}\cdot\frac{12}{7}=\frac{15}{14}=1\frac{1}{14}\).
7. \(\frac{9}{14}:\frac{18}{35}=\frac{9}{14}\cdot\frac{35}{18}=\frac{5}{4}=1\frac{1}{4}\).
8. \(\frac{4}{7}:4=\frac{4}{7}\cdot\frac{1}{4}=\frac{1}{7}\).
9. \(1:\frac{5}{13}=1\cdot\frac{13}{5}=\frac{13}{5}=2\frac{3}{5}\).

Ответ: 8; \(\frac{3}{4}\); \(\frac{5}{6}\); 6; \(1\frac{2}{7}\); \(1\frac{1}{14}\); \(1\frac{1}{4}\); \(\frac{1}{7}\); \(2\frac{3}{5}\).