Вопрос:

Найдите частное: 1) 9 : 3/7; 2) 1 : 3/17; 3) 9/32 : 18; 4) 11 2/3 : 3 1/9; 5) 2 1/4 : 3 3/5; 6) 5 5/6 : 7/18.

Ответ:

  1. \(9:\frac{3}{7}=9\cdot\frac{7}{3}=21\).
  2. \(1:\frac{3}{17}=1\cdot\frac{17}{3}=\frac{17}{3}=5\frac{2}{3}\).
  3. \(\frac{9}{32}:18=\frac{9}{32}\cdot\frac{1}{18}=\frac{1}{64}\).
  4. \(11\frac{2}{3}:3\frac{1}{9}=\frac{35}{3}:\frac{28}{9}=\frac{35}{3}\cdot\frac{9}{28}=\frac{15}{4}=3\frac{3}{4}\).
  5. \(2\frac{1}{4}:3\frac{3}{5}=\frac{9}{4}:\frac{18}{5}=\frac{9}{4}\cdot\frac{5}{18}=\frac{5}{8}\).
  6. \(5\frac{5}{6}:\frac{7}{18}=\frac{35}{6}\cdot\frac{18}{7}=15\).

Ответ: 1) 21; 2) \(5\frac{2}{3}\); 3) \(\frac{1}{64}\); 4) \(3\frac{3}{4}\); 5) \(\frac{5}{8}\); 6) 15.