$(1\frac{3}{5})^2-(4\frac{5}{8}-2,4):5\frac{7}{8}$

Question

$Фото задания: $(1\frac{3}{5})^2-(4\frac{5}{8}-2,4):5\frac{7}{8}$$ Фото задания

Accepted Answer

$1\frac{3}{5}=\frac{8}{5}$, поэтому $(1\frac{3}{5})^2=\frac{64}{25}$.

$4\frac{5}{8}-2,4=\frac{37}{8}-\frac{12}{5}=\frac{185-96}{40}=\frac{89}{40}$.

$\frac{89}{40}:5\frac{7}{8}=\frac{89}{40}:\frac{47}{8}=\frac{89}{40}\cdot\frac{8}{47}=\frac{89}{235}$.

$\frac{64}{25}-\frac{89}{235}=\frac{3008}{1175}-\frac{445}{1175}=\frac{2563}{1175}=2\frac{213}{1175}$.

Ответ: $2\frac{213}{1175}$.

\((1\frac{3}{5})^2-(4\frac{5}{8}-2,4):5\frac{7}{8}\)