2.264. Найдите произведение: а) \(\frac{2}{3}\cdot\frac{5}{11}\); б) \(\frac{2}{9}\cdot\frac{5}{11}\); в) \(\frac{7}{12}\cdot\frac{5}{6}\); г) \(\frac{5}{7}\cdot\frac{5}{6}\); д) \(\frac{1}{2}\cdot\frac{5}{9}\); е) \(\frac{11}{12}\cdot\frac{7}{9}\).

1. \(\frac{2}{3}\cdot\frac{5}{11}=\frac{2\cdot5}{3\cdot11}=\frac{10}{33}\).
2. \(\frac{2}{9}\cdot\frac{5}{11}=\frac{2\cdot5}{9\cdot11}=\frac{10}{99}\).
3. \(\frac{7}{12}\cdot\frac{5}{6}=\frac{7\cdot5}{12\cdot6}=\frac{35}{72}\).
4. \(\frac{5}{7}\cdot\frac{5}{6}=\frac{5\cdot5}{7\cdot6}=\frac{25}{42}\).
5. \(\frac{1}{2}\cdot\frac{5}{9}=\frac{1\cdot5}{2\cdot9}=\frac{5}{18}\).
6. \(\frac{11}{12}\cdot\frac{7}{9}=\frac{11\cdot7}{12\cdot9}=\frac{77}{108}\).

Ответ: а) \(\frac{10}{33}\); б) \(\frac{10}{99}\); в) \(\frac{35}{72}\); г) \(\frac{25}{42}\); д) \(\frac{5}{18}\); е) \(\frac{77}{108}\).