Вопрос:

Вычислите: 4/7 − 21/32; 4 − 3/5; 2/5 : 3/10; (2/3)^3; 1 1/8 − 3/4.

Ответ:

  1. \(\frac{4}{7}-\frac{21}{32}=\frac{128}{224}-\frac{147}{224}=-\frac{19}{224}\).
  2. \(4-\frac{3}{5}=\frac{20}{5}-\frac{3}{5}=\frac{17}{5}=3\frac{2}{5}\).
  3. \(\frac{2}{5}:\frac{3}{10}=\frac{2}{5}\cdot\frac{10}{3}=\frac{4}{3}=1\frac{1}{3}\).
  4. \(\left(\frac{2}{3}\right)^3=\frac{2^3}{3^3}=\frac{8}{27}\).
  5. \(1\frac{1}{8}-\frac{3}{4}=\frac{11}{8}-\frac{6}{8}=\frac{5}{8}\).

Ответ: \(-\frac{19}{224};\ 3\frac{2}{5};\ 1\frac{1}{3};\ \frac{8}{27};\ \frac{5}{8}\).