Вопрос:

3) Вычислите: 1) 3 2/9 · 3; 2) 3 1/2 · 1 3/7; 3) 3/8 : 9/16; 4) 4/7 · 49; 5) 5/12 : 6; 6) 2 6/7 : 1 3/7.

Ответ:

  1. \(3\frac{2}{9}\cdot3=\frac{29}{9}\cdot3=\frac{29}{3}=9\frac{2}{3}\).
  2. \(3\frac{1}{2}\cdot1\frac{3}{7}=\frac{7}{2}\cdot\frac{10}{7}=5\).
  3. \(\frac{3}{8}:\frac{9}{16}=\frac{3}{8}\cdot\frac{16}{9}=\frac{2}{3}\).
  4. \(\frac{4}{7}\cdot49=4\cdot7=28\).
  5. \(\frac{5}{12}:6=\frac{5}{12}\cdot\frac{1}{6}=\frac{5}{72}\).
  6. \(2\frac{6}{7}:1\frac{3}{7}=\frac{20}{7}:\frac{10}{7}=2\).

Ответ: 1) \(9\frac{2}{3}\); 2) \(5\); 3) \(\frac{2}{3}\); 4) \(28\); 5) \(\frac{5}{72}\); 6) \(2\).