812. Вычислите: а) 1/2 · 2/3; б) 2/6 · 6/7; в) 7/8 · 24/49; г) 100/121 · 55/144; е) 4/5 · 6; ж) 3 · 1 1/8; з) 0 · 1/4; и) 4 · 2 1/12.

1. \(\frac{1}{2}\cdot\frac{2}{3}=\frac{1}{3}\).
2. \(\frac{2}{6}\cdot\frac{6}{7}=\frac{2}{7}\).
3. \(\frac{7}{8}\cdot\frac{24}{49}=\frac{3}{7}\).
4. \(\frac{100}{121}\cdot\frac{55}{144}=\frac{125}{396}\).
5. \(\frac{4}{5}\cdot6=\frac{24}{5}=4\frac{4}{5}\).
6. \(3\cdot1\frac{1}{8}=3\cdot\frac{9}{8}=\frac{27}{8}=3\frac{3}{8}\).
7. \(0\cdot\frac{1}{4}=0\).
8. \(4\cdot2\frac{1}{12}=4\cdot\frac{25}{12}=\frac{25}{3}=8\frac{1}{3}\).

Ответ: а) \(\frac{1}{3}\); б) \(\frac{2}{7}\); в) \(\frac{3}{7}\); г) \(\frac{125}{396}\); е) \(4\frac{4}{5}\); ж) \(3\frac{3}{8}\); з) 0; и) \(8\frac{1}{3}\).