Вопрос:

31. Найдите произведение: 1) 5/6 · 12/15; 2) 3/8 · 4/24; 3) 32/45 · 15/24; 4) 9/11 · 44/24; 5) 36/14 · 21/24; 6) 15/16 · 48/55.

Ответ:

  1. \(\frac{5}{6}\cdot\frac{12}{15}=\frac{2}{3}\).
  2. \(\frac{3}{8}\cdot\frac{4}{24}=\frac{1}{16}\).
  3. \(\frac{32}{45}\cdot\frac{15}{24}=\frac{4}{9}\).
  4. \(\frac{9}{11}\cdot\frac{44}{24}=\frac{3}{2}=1\frac{1}{2}\).
  5. \(\frac{36}{14}\cdot\frac{21}{24}=\frac{9}{4}=2\frac{1}{4}\).
  6. \(\frac{15}{16}\cdot\frac{48}{55}=\frac{9}{11}\).

Ответ: 1) \(\frac{2}{3}\); 2) \(\frac{1}{16}\); 3) \(\frac{4}{9}\); 4) \(1\frac{1}{2}\); 5) \(2\frac{1}{4}\); 6) \(\frac{9}{11}\).