Вопрос:

Задание 1-2. Найдите значение выражения: \(17:(-\frac{3}{5}+\frac{1}{4})+(-\frac{7}{8}-\frac{1}{4})\cdot| -\frac{4}{5}|^2\).

Ответ:

\[-\frac{3}{5}+\frac{1}{4}=-\frac{12}{20}+\frac{5}{20}=-\frac{7}{20}.\]

\[17:\left(-\frac{7}{20}\right)=-\frac{340}{7}.\]

\[-\frac{7}{8}-\frac{1}{4}=-\frac{7}{8}-\frac{2}{8}=-\frac{9}{8},\qquad \left|-\frac45\right|^2=\left(\frac45\right)^2=\frac{16}{25}.\]

\[-\frac98\cdot\frac{16}{25}=-\frac{18}{25}.\]

\[-\frac{340}{7}-\frac{18}{25}=\frac{-8500-126}{175}=-\frac{8626}{175}.\]

Ответ: \(-\frac{8626}{175}\).