Вопрос:

\(\left(-1\frac{2}{3}\right)\div0{,}5+\left(0{,}2-\frac{3}{4}\right)\cdot(-20)\)

Ответ:

Преобразуем числа: \(-1\frac{2}{3}=-\frac{5}{3}\), \(0{,}5=\frac{1}{2}\), \(0{,}2=\frac{1}{5}\).

\[\left(-\frac{5}{3}\right)\div\frac{1}{2}+\left(\frac{1}{5}-\frac{3}{4}\right)\cdot(-20)\]

\[-\frac{5}{3}\cdot2+\left(-\frac{11}{20}\right)\cdot(-20)=-\frac{10}{3}+11\]

\[=-\frac{10}{3}+\frac{33}{3}=\frac{23}{3}\]

Ответ: \(\frac{23}{3}=7\frac{2}{3}\).