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

а) \(\frac{2}{3}\) · \(\frac{5}{11}\) = \(\frac{2·5}{3·11}\) = \(\frac{10}{33}\)

б) \(\frac{2}{9}\) · \(\frac{5}{11}\) = \(\frac{2·5}{9·11}\) = \(\frac{10}{99}\)

в) \(\frac{7}{12}\) · \(\frac{5}{6}\) = \(\frac{7·5}{12·6}\) = \(\frac{35}{72}\)

г) \(\frac{5}{7}\) · \(\frac{5}{6}\) = \(\frac{5·5}{7·6}\) = \(\frac{25}{42}\)

д) \(\frac{1}{2}\) · \(\frac{5}{9}\) = \(\frac{1·5}{2·9}\) = \(\frac{5}{18}\)

e) \(\frac{11}{12}\) · \(\frac{7}{9}\) = \(\frac{11·7}{12·9}\) = \(\frac{77}{108}\)

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