4.182. Вычислите: А) 1/2 · 1 1/2; Б) 1/3 · 4 1/5; Е) 1/7 · 15 2/7; Ё) 1/8 · 16 8/9; Й) 1 1/2 · 2/9; К) 3/7 · 2 1/3; О) 7/8 · 5 1/3; П) 1 1/7 · 3 1/16; У) 1 4/5 · 6 2/3; Ф) 4 1/2 · 2 4/5; Ш) 5 1/7 · 3 8/9; Щ) 4 1/2 · 14/45.

1. А) \(\frac{1}{2}\cdot1\frac{1}{2}=\frac{1}{2}\cdot\frac{3}{2}=\frac{3}{4}\).
2. Б) \(\frac{1}{3}\cdot4\frac{1}{5}=\frac{1}{3}\cdot\frac{21}{5}=\frac{7}{5}=1\frac{2}{5}\).
3. Е) \(\frac{1}{7}\cdot15\frac{2}{7}=\frac{1}{7}\cdot\frac{107}{7}=\frac{107}{49}=2\frac{9}{49}\).
4. Ё) \(\frac{1}{8}\cdot16\frac{8}{9}=\frac{1}{8}\cdot\frac{152}{9}=\frac{19}{9}=2\frac{1}{9}\).
5. Й) \(1\frac{1}{2}\cdot\frac{2}{9}=\frac{3}{2}\cdot\frac{2}{9}=\frac{1}{3}\).
6. К) \(\frac{3}{7}\cdot2\frac{1}{3}=\frac{3}{7}\cdot\frac{7}{3}=1\).
7. О) \(\frac{7}{8}\cdot5\frac{1}{3}=\frac{7}{8}\cdot\frac{16}{3}=\frac{14}{3}=4\frac{2}{3}\).
8. П) \(1\frac{1}{7}\cdot3\frac{1}{16}=\frac{8}{7}\cdot\frac{49}{16}=\frac{7}{2}=3\frac{1}{2}\).
9. У) \(1\frac{4}{5}\cdot6\frac{2}{3}=\frac{9}{5}\cdot\frac{20}{3}=12\).
10. Ф) \(4\frac{1}{2}\cdot2\frac{4}{5}=\frac{9}{2}\cdot\frac{14}{5}=\frac{63}{5}=12\frac{3}{5}\).
11. Ш) \(5\frac{1}{7}\cdot3\frac{8}{9}=\frac{36}{7}\cdot\frac{35}{9}=20\).
12. Щ) \(4\frac{1}{2}\cdot\frac{14}{45}=\frac{9}{2}\cdot\frac{14}{45}=\frac{7}{5}=1\frac{2}{5}\).

Ответ: А) \(\frac{3}{4}\); Б) \(1\frac{2}{5}\); Е) \(2\frac{9}{49}\); Ё) \(2\frac{1}{9}\); Й) \(\frac{1}{3}\); К) \(1\); О) \(4\frac{2}{3}\); П) \(3\frac{1}{2}\); У) \(12\); Ф) \(12\frac{3}{5}\); Ш) \(20\); Щ) \(1\frac{2}{5}\).