6. Вычислите: $3\frac{2}{7}:\left(\frac{5}{6}-\frac{11}{3}\right)+7\cdot1\frac{4}{9}$.

Question

$Фото задания: 6. Вычислите: $3\frac{2}{7}:\left(\frac{5}{6}-\frac{11}{3}\right)+7\cdot1\frac{4}{9}$.$ Фото задания

Accepted Answer

$3\frac{2}{7}=\frac{23}{7}$, $\frac{5}{6}-\frac{11}{3}=\frac{5}{6}-\frac{22}{6}=-\frac{17}{6}$, $1\frac{4}{9}=\frac{13}{9}$.

$\frac{23}{7}:\left(-\frac{17}{6}\right)=-\frac{138}{119}$, а $7\cdot\frac{13}{9}=\frac{91}{9}$.

$-\frac{138}{119}+\frac{91}{9}=\frac{-1242+10829}{1071}=\frac{9587}{1071}=8\frac{1019}{1071}$.

Ответ: $8\frac{1019}{1071}$

6. Вычислите: \(3\frac{2}{7}:\left(\frac{5}{6}-\frac{11}{3}\right)+7\cdot1\frac{4}{9}\).