7) $\left(25\frac{13}{28}-26\frac{4}{21}\right)-\left(-4-1\frac{5}{24}\right)$

Question

Вопрос: $Фото задания: 7) $\left(25\frac{13}{28}-26\frac{4}{21}\right)-\left(-4-1\frac{5}{24}\right)$$ Фото задания

Accepted Answer

\[\left(25\frac{13}{28}-26\frac{4}{21}\right)-\left(-4-1\frac{5}{24}\right)\]

\[25\frac{13}{28}-26\frac{4}{21}=-1+\frac{13}{28}-\frac{4}{21}=-1+\frac{23}{84}=-\frac{61}{84}\]

\[-4-1\frac{5}{24}=-5\frac{5}{24}=-\frac{125}{24}\]

\[-\frac{61}{84}-\left(-\frac{125}{24}\right)=-\frac{61}{84}+\frac{125}{24}=\frac{-122+875}{168}=\frac{753}{168}=\frac{251}{56}=4\frac{27}{56}\]

Ответ: $4\frac{27}{56}$

7) \(\left(25\frac{13}{28}-26\frac{4}{21}\right)-\left(-4-1\frac{5}{24}\right)\)