б) \(\frac{6}{25}\cdot\frac{5}{18}\); г) \(1\frac{3}{7}\cdot14\); е) \(\frac{12}{13}:6\).

1. \(\frac{6}{25}\cdot\frac{5}{18}=\frac{6\cdot5}{25\cdot18}=\frac{1}{15}\).
2. \(1\frac{3}{7}=\frac{10}{7}\), поэтому \(\frac{10}{7}\cdot14=20\).
3. \(\frac{12}{13}:6=\frac{12}{13}\cdot\frac{1}{6}=\frac{2}{13}\).

Ответ: б) \(\frac{1}{15}\); г) \(20\); е) \(\frac{2}{13}\).