Вопрос:

334. Выполните умножение: 1) 9/35 · 8; 2) 7/21 · 16; 3) 42 · 1/7; 4) 6/19 · 57; 5) 22/25 · 10/77; 6) 6 · 15/18; 7) 6/35 · 14/15; 8) 45/15 · 8/15.

Ответ:

  1. \(\frac{9}{35}\cdot8=\frac{72}{35}=2\frac{2}{35}\).
  2. \(\frac{7}{21}\cdot16=\frac{1}{3}\cdot16=\frac{16}{3}=5\frac{1}{3}\).
  3. \(42\cdot\frac17=6\).
  4. \(\frac{6}{19}\cdot57=6\cdot3=18\).
  5. \(\frac{22}{25}\cdot\frac{10}{77}=\frac{44}{385}\).
  6. \(6\cdot\frac{15}{18}=6\cdot\frac56=5\).
  7. \(\frac{6}{35}\cdot\frac{14}{15}=\frac{4}{25}\).
  8. \(\frac{45}{15}\cdot\frac{8}{15}=3\cdot\frac{8}{15}=\frac85=1\frac35\).

Ответ: 1) \(2\frac{2}{35}\); 2) \(5\frac13\); 3) 6; 4) 18; 5) \(\frac{44}{385}\); 6) 5; 7) \(\frac425\); 8) \(1\frac35\).