Вопрос:

Вычислите: 1) \(4\frac{2}{35}\cdot7\); 2) \(\frac{4}{27}\cdot10\); 3) \(1\frac{3}{14}\cdot5\); 4) \(7\frac{1}{9}\cdot6\); 5) \(11\frac{1}{8}\cdot7\); 6) \(\frac{7}{8}\cdot32\); 7) \(12\frac{5}{121}\cdot4\).

Ответ:

  1. \(4\frac{2}{35}\cdot7=\frac{142}{35}\cdot7=\frac{142}{5}=28\frac{2}{5}\).
  2. \(\frac{4}{27}\cdot10=\frac{40}{27}=1\frac{13}{27}\).
  3. \(1\frac{3}{14}\cdot5=\frac{17}{14}\cdot5=\frac{85}{14}=6\frac{1}{14}\).
  4. \(7\frac{1}{9}\cdot6=\frac{64}{9}\cdot6=\frac{128}{3}=42\frac{2}{3}\).
  5. \(11\frac{1}{8}\cdot7=\frac{89}{8}\cdot7=\frac{623}{8}=77\frac{7}{8}\).
  6. \(\frac{7}{8}\cdot32=7\cdot4=28\).
  7. \(12\frac{5}{121}\cdot4=\frac{1457}{121}\cdot4=\frac{5828}{121}=48\frac{20}{121}\).

Ответ: \(28\frac{2}{5};\ 1\frac{13}{27};\ 6\frac{1}{14};\ 42\frac{2}{3};\ 77\frac{7}{8};\ 28;\ 48\frac{20}{121}\).

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