Вычислите: $\cdot$) $\cdot$-$\frac{15}{28}$+2$\frac{2}{3}$$\cdot$$\left$$\frac{6}{7}\right$:$\frac{21}{32}$.

Question

$Фото задания: Вычислите: $\cdot$) $\cdot$-$\frac{15}{28}$+2$\frac{2}{3}$$\cdot$$\left$$\frac{6}{7}\right$:$\frac{21}{32}$.$ Фото задания

Accepted Answer

Вычислим по порядку действий:

\[\frac{6}{7}:\frac{21}{32}=\frac{6}{7}\cdot\frac{32}{21}=\frac{192}{147}=\frac{64}{49}.\]

\[2\frac{2}{3}\cdot\frac{64}{49}=\frac{8}{3}\cdot\frac{64}{49}=\frac{512}{147}.\]

\[-\frac{15}{28}+\frac{512}{147}= -\frac{2205}{4116}+\frac{14336}{4116}=\frac{12131}{4116}.\]

Ответ: $\frac{12131}{4116}=2\frac{3899}{4116}$.

Вычислите: \(\cdot\)) \(\cdot\)-\(\frac{15}{28}\)+2\(\frac{2}{3}\)\(\cdot\)\(\left\)\(\frac{6}{7}\right\):\(\frac{21}{32}\).