Вопрос:

Вычислите: 2 2/3 · 1/7; 4 1/3 : 2/7; 5 − 1/3; 5 2/3 + 3/7; 3,61 : 1,9.

Ответ:

  1. \(2\frac{2}{3}\cdot\frac{1}{7}=\frac{8}{3}\cdot\frac{1}{7}=\frac{8}{21}\).
  2. \(4\frac{1}{3}:\frac{2}{7}=\frac{13}{3}\cdot\frac{7}{2}=\frac{91}{6}=15\frac{1}{6}\).
  3. \(5-\frac{1}{3}=\frac{15}{3}-\frac{1}{3}=\frac{14}{3}=4\frac{2}{3}\).
  4. \(5\frac{2}{3}+\frac{3}{7}=\frac{17}{3}+\frac{3}{7}=\frac{119+9}{21}=\frac{128}{21}=6\frac{2}{21}\).
  5. \(3{,}61:1{,}9=1{,}9\).

Ответ: \(\frac{8}{21};\ 15\frac{1}{6};\ 4\frac{2}{3};\ 6\frac{2}{21};\ 1{,}9\).