5. $\left(\frac{11}{6}\cdot0{,}9-\frac{7}{4}\right)\cdot\left(9\cdot\frac{5}{12}-\frac{16}{25}\right)$

Question

Вопрос: $Фото задания: 5. $\left(\frac{11}{6}\cdot0{,}9-\frac{7}{4}\right)\cdot\left(9\cdot\frac{5}{12}-\frac{16}{25}\right)$$ Фото задания

Accepted Answer

Вычислим значения скобок:

$\frac{11}{6}\cdot0{,}9-\frac{7}{4}=\frac{11}{6}\cdot\frac{9}{10}-\frac{7}{4}=\frac{33}{20}-\frac{35}{20}=-\frac{1}{10}$.

$9\cdot\frac{5}{12}-\frac{16}{25}=\frac{15}{4}-\frac{16}{25}=\frac{375-64}{100}=\frac{311}{100}$.

$-\frac{1}{10}\cdot\frac{311}{100}=-\frac{311}{1000}=-0{,}311$.

Ответ: −0,311.

5. \(\left(\frac{11}{6}\cdot0{,}9-\frac{7}{4}\right)\cdot\left(9\cdot\frac{5}{12}-\frac{16}{25}\right)\)