96. Выполните действие: а) 5/9 · 4/7; б) 15/17 · 34/45; в) 3 3/8 · 1 1/15; г) 3 1/7 · 1 3/11; д) 2 2/5 · 5/24; е) 3/8 · 4 4/15.

1. \(\frac{5}{9}\cdot\frac{4}{7}=\frac{5\cdot4}{9\cdot7}=\frac{20}{63}\).

2. \(\frac{15}{17}\cdot\frac{34}{45}=\frac{15}{45}\cdot\frac{34}{17}=\frac{1}{3}\cdot2=\frac{2}{3}\).

3. \(3\frac{3}{8}=\frac{27}{8}\), \(1\frac{1}{15}=\frac{16}{15}\).

   \(\frac{27}{8}\cdot\frac{16}{15}=\frac{27\cdot2}{15}=\frac{18}{5}=3\frac{3}{5}\).

4. \(3\frac{1}{7}=\frac{22}{7}\), \(1\frac{3}{11}=\frac{14}{11}\).

   \(\frac{22}{7}\cdot\frac{14}{11}=2\cdot2=4\).

5. \(2\frac{2}{5}=\frac{12}{5}\).

   \(\frac{12}{5}\cdot\frac{5}{24}=\frac{12}{24}=\frac{1}{2}\).

6. \(4\frac{4}{15}=\frac{64}{15}\).

   \(\frac{3}{8}\cdot\frac{64}{15}=\frac{3\cdot8}{15}=\frac{8}{5}=1\frac{3}{5}\).

Ответ: а) \(\frac{20}{63}\); б) \(\frac{2}{3}\); в) \(3\frac{3}{5}\); г) \(4\); д) \(\frac{1}{2}\); е) \(1\frac{3}{5}\).