Вопрос:

Вычислите: 1) \((-\frac{3}{4}-\frac{1}{6})\); 2) \(-\frac{11}{12} : (-1\frac{3}{8})\).

Ответ:

  1. \[ -\frac{3}{4}-\frac{1}{6}=-\left(\frac{3}{4}+\frac{1}{6}\right)=-\frac{9+2}{12}=-\frac{11}{12}. \]
  2. \[ -\frac{11}{12}:\left(-1\frac{3}{8}\right)=\frac{11}{12}:\frac{11}{8}=\frac{11}{12}\cdot\frac{8}{11}=\frac{8}{12}=\frac{2}{3}. \]

Ответ: 1) \(-\frac{11}{12}\); 2) \(\frac{2}{3}\).