Д/з: \(\left(\left(\dfrac{7}{9}-\dfrac{47}{72}\right):1,25+\left(\dfrac{6}{7}-\dfrac{17}{28}\right):(0,358-0,108)\right)\cdot1,6-\dfrac{19}{25}\).

Question

Вопрос:

Д/з: \(\left(\left(\dfrac{7}{9}-\dfrac{47}{72}\right):1,25+\left(\dfrac{6}{7}-\dfrac{17}{28}\right):(0,358-0,108)\right)\cdot1,6-\dfrac{19}{25}\).

Accepted Answer

Первое слагаемое в скобках: \(\left(\dfrac{7}{9}-\dfrac{47}{72}\right):1,25=\left(\dfrac{56}{72}-\dfrac{47}{72}\right):\dfrac{5}{4}=\dfrac{1}{8}\cdot\dfrac{4}{5}=\dfrac{1}{10}\).

Второе слагаемое: \(\left(\dfrac{6}{7}-\dfrac{17}{28}\right):(0,358-0,108)=\dfrac{7}{28}:0,25=\dfrac{1}{4}:\dfrac{1}{4}=1\).

Подставляем и вычисляем: \(\left(\dfrac{1}{10}+1\right)\cdot1,6-\dfrac{19}{25}=1,1\cdot1,6-0,76=1,76-0,76=1\).

Ответ: 1.