7) $\left(\frac{7}{16}-\left(-\frac{5}{24}\right)\right):\left(-1\frac{15}{16}\right)$;

Question

$Фото задания: 7) $\left(\frac{7}{16}-\left(-\frac{5}{24}\right)\right):\left(-1\frac{15}{16}\right)$;$ Фото задания

Accepted Answer

$\frac{7}{16}-\left(-\frac{5}{24}\right)=\frac{7}{16}+\frac{5}{24}=\frac{21+10}{48}=\frac{31}{48}$.

$-1\frac{15}{16}=-\frac{31}{16}$.

$\frac{31}{48}:\left(-\frac{31}{16}\right)=\frac{31}{48}\cdot\left(-\frac{16}{31}\right)=-\frac{1}{3}$.

Ответ: $-\frac{1}{3}$.

7) \(\left(\frac{7}{16}-\left(-\frac{5}{24}\right)\right):\left(-1\frac{15}{16}\right)\);