Вопрос:

4. Вычислите: 1) \(\left(\frac{5}{12}+\frac{1}{8}\right):\frac{3}{8}\); 2) \(\frac{5}{12}+\frac{1}{8}:\frac{3}{8}\); 3) \(\left(\frac{11}{18}-\frac{4}{9}\right)\cdot\frac{3}{16}\); 4) \(\frac{11}{18}-\frac{4}{9}\cdot\frac{3}{16}\).

Ответ:

  1. \(\left(\frac{5}{12}+\frac{1}{8}\right):\frac{3}{8}=\left(\frac{10}{24}+\frac{3}{24}\right)\cdot\frac{8}{3}=\frac{13}{24}\cdot\frac{8}{3}=\frac{13}{9}=1\frac{4}{9}\).
  2. \(\frac{5}{12}+\frac{1}{8}:\frac{3}{8}=\frac{5}{12}+\frac{1}{8}\cdot\frac{8}{3}=\frac{5}{12}+\frac{1}{3}=\frac{9}{12}=\frac{3}{4}\).
  3. \(\left(\frac{11}{18}-\frac{4}{9}\right)\cdot\frac{3}{16}=\left(\frac{11}{18}-\frac{8}{18}\right)\cdot\frac{3}{16}=\frac{1}{6}\cdot\frac{3}{16}=\frac{1}{32}\).
  4. \(\frac{11}{18}-\frac{4}{9}\cdot\frac{3}{16}=\frac{11}{18}-\frac{1}{12}=\frac{22}{36}-\frac{3}{36}=\frac{19}{36}\).

Ответ: 1) \(1\frac{4}{9}\); 2) \(\frac{3}{4}\); 3) \(\frac{1}{32}\); 4) \(\frac{19}{36}\).