Вопрос:

Блок 2. ФИПИ. Задание 2. Найдите значение выражения: 1) (1/12−17/15)·10/3; 2) (7/15+19/30)·9/11; 3) (3/25−2/35)·14; 4) (1/30+7/10)·6.

Ответ:

  1. \(\left(\frac{1}{12}-\frac{17}{15}\right)\cdot\frac{10}{3}=\left(\frac{5}{60}-\frac{68}{60}\right)\cdot\frac{10}{3}=-\frac{21}{20}\cdot\frac{10}{3}=-\frac{7}{2}\).
  2. \(\left(\frac{7}{15}+\frac{19}{30}\right)\cdot\frac{9}{11}=\frac{33}{30}\cdot\frac{9}{11}=\frac{9}{10}\).
  3. \(\left(\frac{3}{25}-\frac{2}{35}\right)\cdot14=\frac{11}{175}\cdot14=\frac{22}{25}\).
  4. \(\left(\frac{1}{30}+\frac{7}{10}\right)\cdot6=\frac{22}{30}\cdot6=\frac{22}{5}\).

Ответ: 1) −\(\frac{7}{2}\); 2) \(\frac{9}{10}\); 3) \(\frac{22}{25}\); 4) \(\frac{22}{5}\).