д) -$\frac{5}{8}$ $\frac{4}{15}$ - $\frac{14}{33}$ : (-$\frac{7}{11}$) + $\frac{2}{7}$ (3$\frac{1}{2}$)^2 - $\frac{5}{13}$ : 3$\frac{1}{13}$;

Question

$Фото задания: д) -$\frac{5}{8}$ $\frac{4}{15}$ - $\frac{14}{33}$ : (-$\frac{7}{11}$) + $\frac{2}{7}$ (3$\frac{1}{2}$)^2 -…$ Фото задания

Accepted Answer

$-\frac{5}{8} \frac{4}{15} = -\frac{5 4}{8 15} = -\frac{20}{120} = -\frac{1}{6}$
$-\frac{14}{33} : (-\frac{7}{11}) = \frac{14}{33} \frac{11}{7} = \frac{14 11}{33 7} = \frac{2 1}{3 1} = \frac{2}{3}$
$3\frac{1}{2} = \frac{7}{2}$
$(\frac{7}{2})^2 = \frac{49}{4}$
$\frac{2}{7} \frac{49}{4} = \frac{2 49}{7 4} = \frac{1 7}{1 2} = \frac{7}{2}$
$3\frac{1}{13} = \frac{40}{13}$
$-\frac{5}{13} : \frac{40}{13} = -\frac{5}{13} \frac{13}{40} = -\frac{5}{40} = -\frac{1}{8}$
$-\frac{1}{6} + \frac{2}{3} + \frac{7}{2} - \frac{1}{8} = \frac{-4+16+84-3}{24} = \frac{93}{24} = \frac{31}{8} = 3\(\frac{7}{8}$\)

Ответ: 3$\frac{7}{8}$

д) -\(\frac{5}{8}\) \(\frac{4}{15}\) - \(\frac{14}{33}\) : (-\(\frac{7}{11}\)) + \(\frac{2}{7}\) (3\(\frac{1}{2}\))^2 - \(\frac{5}{13}\) : 3\(\frac{1}{13}\);