Вопрос:

86. Выполните действие: а) \(\frac{3}{7}\cdot\frac{2}{5}\); б) \(\frac{7}{13}\cdot\frac{39}{56}\); в) \(3\frac{1}{9}\cdot2\frac{1}{7}\); г) \(2\frac{1}{7}\cdot2\frac{4}{5}\); д) \(1\frac{1}{9}\cdot\frac{3}{10}\); е) \(\frac{4}{11}\cdot4\frac{7}{12}\)

Ответ:

  1. \(\frac{3}{7}\cdot\frac{2}{5}=\frac{6}{35}\).
  2. \(\frac{7}{13}\cdot\frac{39}{56}=\frac{7}{13}\cdot\frac{3\cdot13}{7\cdot8}=\frac{3}{8}\).
  3. \(3\frac{1}{9}\cdot2\frac{1}{7}=\frac{28}{9}\cdot\frac{15}{7}=\frac{20}{3}=6\frac{2}{3}\).
  4. \(2\frac{1}{7}\cdot2\frac{4}{5}=\frac{15}{7}\cdot\frac{14}{5}=6\).
  5. \(1\frac{1}{9}\cdot\frac{3}{10}=\frac{10}{9}\cdot\frac{3}{10}=\frac{1}{3}\).
  6. \(\frac{4}{11}\cdot4\frac{7}{12}=\frac{4}{11}\cdot\frac{55}{12}=\frac{5}{3}=1\frac{2}{3}\).

Ответ: а) \(\frac{6}{35}\); б) \(\frac{3}{8}\); в) \(6\frac{2}{3}\); г) \(6\); д) \(\frac{1}{3}\); е) \(1\frac{2}{3}\).