Вычислите произведение: а) \(\frac{3}{7}\cdot\frac{5}{6}\cdot\frac{7}{5}\); б) \(\frac{7}{11}\cdot\frac{3}{31}\cdot\frac{11}{7}\); в) \(\frac{13}{8}\cdot\frac{10}{13}\cdot\frac{3}{10}\); г) \(\frac{15}{77}\cdot\left(\frac{11}{9}\cdot1\frac{1}{20}\right)\); д) \(\frac{2}{3}\cdot\frac{5}{4}\cdot\frac{9}{5}\); е) \(\frac{4}{25}\cdot\frac{10}{18}\cdot\frac{15}{16}\).

1. \(\frac{3}{7}\cdot\frac{5}{6}\cdot\frac{7}{5}=\frac{3}{6}=\frac{1}{2}\).
2. \(\frac{7}{11}\cdot\frac{3}{31}\cdot\frac{11}{7}=\frac{3}{31}\).
3. \(\frac{13}{8}\cdot\frac{10}{13}\cdot\frac{3}{10}=\frac{3}{8}\).
4. \(1\frac{1}{20}=\frac{21}{20}\), поэтому \(\frac{15}{77}\cdot\frac{11}{9}\cdot\frac{21}{20}=\frac{3}{44}\cdot\frac{11}{9}\cdot\frac{21}{20}=\frac{21}{240}=\frac{7}{80}\).
5. \(\frac{2}{3}\cdot\frac{5}{4}\cdot\frac{9}{5}=\frac{2}{3}\cdot\frac{9}{4}=\frac{3}{2}\).
6. \(\frac{4}{25}\cdot\frac{10}{18}\cdot\frac{15}{16}=\frac{1}{100}\cdot\frac{10}{18}\cdot15=\frac{1}{12}\).

Ответ: а) \(\frac{1}{2}\); б) \(\frac{3}{31}\); в) \(\frac{3}{8}\); г) \(\frac{7}{80}\); д) \(\frac{3}{2}\); е) \(\frac{1}{12}\).