Вопрос:

Выполни действие: 1) \(\frac{8}{25}:\frac{4}{15}\); 2) \(1:\frac{5}{13}\); 3) \(6\frac{3}{4}:1\frac{5}{8}\); 4) \(8\frac{3}{5}:4\); 5) \(\frac{1}{8}:\frac{3}{7}\); 6) \(3\frac{6}{7}:\frac{9}{28}\); 7) \(\frac{5}{24}:10\); 8) \(5:7\frac{1}{2}\).

Ответ:

  1. \(\frac{8}{25}:\frac{4}{15}=\frac{8}{25}\cdot\frac{15}{4}=\frac{6}{5}=1\frac{1}{5}\).
  2. \(1:\frac{5}{13}=1\cdot\frac{13}{5}=\frac{13}{5}=2\frac{3}{5}\).
  3. \(6\frac{3}{4}:1\frac{5}{8}=\frac{27}{4}:\frac{13}{8}=\frac{27}{4}\cdot\frac{8}{13}=\frac{54}{13}=4\frac{2}{13}\).
  4. \(8\frac{3}{5}:4=\frac{43}{5}:4=\frac{43}{5}\cdot\frac{1}{4}=\frac{43}{20}=2\frac{3}{20}\).
  5. \(\frac{1}{8}:\frac{3}{7}=\frac{1}{8}\cdot\frac{7}{3}=\frac{7}{24}\).
  6. \(3\frac{6}{7}:\frac{9}{28}=\frac{27}{7}\cdot\frac{28}{9}=12\).
  7. \(\frac{5}{24}:10=\frac{5}{24}\cdot\frac{1}{10}=\frac{1}{48}\).
  8. \(5:7\frac{1}{2}=5:\frac{15}{2}=5\cdot\frac{2}{15}=\frac{2}{3}\).

Ответ: 1) \(1\frac{1}{5}\); 2) \(2\frac{3}{5}\); 3) \(4\frac{2}{13}\); 4) \(2\frac{3}{20}\); 5) \(\frac{7}{24}\); 6) \(12\); 7) \(\frac{1}{48}\); 8) \(\frac{2}{3}\).