Вопрос:

Найдите частное: 1) \(6:\frac{2}{7}\); 2) \(1:\frac{8}{19}\); 3) \(\frac{7}{25}:28\); 4) \(16\frac{1}{3}:5\frac{5}{6}\).

Ответ:

  1. \(6:\frac{2}{7}=6\cdot\frac{7}{2}=21\).
  2. \(1:\frac{8}{19}=1\cdot\frac{19}{8}=2\frac{3}{8}\).
  3. \(\frac{7}{25}:28=\frac{7}{25}\cdot\frac{1}{28}=\frac{1}{100}\).
  4. \(16\frac{1}{3}:5\frac{5}{6}=\frac{49}{3}:\frac{35}{6}=\frac{49}{3}\cdot\frac{6}{35}=\frac{14}{5}=2\frac{4}{5}\).

Ответ: 1) 21; 2) \(2\frac{3}{8}\); 3) \(\frac{1}{100}\); 4) \(2\frac{4}{5}\).