1. Вычислите: а) \(\frac{4}{9}\cdot\frac{3}{16}\); б) \(\frac{5}{9}\cdot4\frac{1}{2}\); в) \(5\cdot\frac{3}{25}\); г) \(1\frac{1}{9}\cdot18\); д) \(1\frac{1}{8}\cdot2\frac{2}{3}\); е) \(\frac{5}{8}:\frac{15}{16}\); ж) \(2\frac{2}{5}:6\); з) \(8:\frac{4}{9}\); и) \(3\frac{1}{2}:1\frac{3}{4}\).

1. \(\frac{4}{9}\cdot\frac{3}{16}=\frac{12}{144}=\frac{1}{12}\).
2. \(\frac{5}{9}\cdot4\frac{1}{2}=\frac{5}{9}\cdot\frac{9}{2}=\frac{5}{2}=2\frac{1}{2}\).
3. \(5\cdot\frac{3}{25}=\frac{15}{25}=\frac{3}{5}\).
4. \(1\frac{1}{9}\cdot18=\frac{10}{9}\cdot18=20\).
5. \(1\frac{1}{8}\cdot2\frac{2}{3}=\frac{9}{8}\cdot\frac{8}{3}=3\).
6. \(\frac{5}{8}:\frac{15}{16}=\frac{5}{8}\cdot\frac{16}{15}=\frac{2}{3}\).
7. \(2\frac{2}{5}:6=\frac{12}{5}:6=\frac{12}{5}\cdot\frac{1}{6}=\frac{2}{5}\).
8. \(8:\frac{4}{9}=8\cdot\frac{9}{4}=18\).
9. \(3\frac{1}{2}:1\frac{3}{4}=\frac{7}{2}:\frac{7}{4}=\frac{7}{2}\cdot\frac{4}{7}=2\).

Ответ: а) \(\frac{1}{12}\); б) \(2\frac{1}{2}\); в) \(\frac{3}{5}\); г) \(20\); д) \(3\); е) \(\frac{2}{3}\); ж) \(\frac{2}{5}\); з) \(18\); и) \(2\).