Вопрос:

Вычислите: з) \(33\frac{1}{3}\cdot1\frac{1}{5}\); и) \(2\frac{2}{5}\cdot13\frac{1}{3}\); к) \(5\frac{3}{4}\cdot1\frac{1}{7}\); \(2\frac{4}{5}\cdot6\frac{3}{7}\); \(3\frac{1}{16}\cdot1\frac{5}{7}\); \(3\frac{7}{9}\cdot1\frac{1}{17}\).

Ответ:

  1. \(33\frac{1}{3}\cdot1\frac{1}{5}=\frac{100}{3}\cdot\frac{6}{5}=40\).
  2. \(2\frac{2}{5}\cdot13\frac{1}{3}=\frac{12}{5}\cdot\frac{40}{3}=32\).
  3. \(5\frac{3}{4}\cdot1\frac{1}{7}=\frac{23}{4}\cdot\frac{8}{7}=\frac{46}{7}=6\frac{4}{7}\).
  4. \(2\frac{4}{5}\cdot6\frac{3}{7}=\frac{14}{5}\cdot\frac{45}{7}=18\).
  5. \(3\frac{1}{16}\cdot1\frac{5}{7}=\frac{49}{16}\cdot\frac{12}{7}=\frac{21}{4}=5\frac{1}{4}\).
  6. \(3\frac{7}{9}\cdot1\frac{1}{17}=\frac{34}{9}\cdot\frac{18}{17}=4\).

Ответ: 40; 32; \(6\frac{4}{7}\); 18; \(5\frac{1}{4}\); 4.