Вычислите произведение: а) \(\frac{30}{55}\cdot\frac{5}{18}\cdot\frac{3}{25}\); б) \(\frac{12}{13}\cdot\frac{13}{7}\cdot\frac{7}{16}\); в) \(\frac{4}{7}\cdot\frac{35}{36}\cdot\frac{3}{25}\); г) \(\frac{20}{13}\cdot\frac{39}{200}\cdot\frac{10}{21}\); д) \(\frac{40}{33}\cdot\frac{11}{18}\cdot\frac{3}{5}\); е) \(\left(1\frac{3}{4}\cdot\frac{13}{16}\right)\cdot\frac{16}{39}\).

1. \(\frac{30}{55}\cdot\frac{5}{18}\cdot\frac{3}{25}=\frac{2}{11}\cdot\frac{5}{18}\cdot\frac{3}{25}=\frac{1}{165}\).
2. \(\frac{12}{13}\cdot\frac{13}{7}\cdot\frac{7}{16}=\frac{12}{16}=\frac{3}{4}\).
3. \(\frac{4}{7}\cdot\frac{35}{36}\cdot\frac{3}{25}=\frac{1}{3}\).
4. \(\frac{20}{13}\cdot\frac{39}{200}\cdot\frac{10}{21}=\frac{1}{10}\cdot3\cdot\frac{10}{21}=\frac{1}{7}\).
5. \(\frac{40}{33}\cdot\frac{11}{18}\cdot\frac{3}{5}=\frac{8}{3}\cdot\frac{1}{18}\cdot3=\frac{4}{9}\).
6. \(1\frac{3}{4}=\frac{7}{4}\), поэтому \(\frac{7}{4}\cdot\frac{13}{16}\cdot\frac{16}{39}=\frac{7}{4}\cdot\frac{1}{3}=\frac{7}{12}\).

Ответ: а) \(\frac{1}{165}\); б) \(\frac{3}{4}\); в) \(\frac{1}{3}\); г) \(\frac{1}{7}\); д) \(\frac{4}{9}\); е) \(\frac{7}{12}\).