40. Вычислите: $\frac{4}{15}+\frac{6}{35}:\left(2-1\frac{41}{49}\right)-1\frac{1}{6}$.

Question

$Фото задания: 40. Вычислите: $\frac{4}{15}+\frac{6}{35}:\left(2-1\frac{41}{49}\right)-1\frac{1}{6}$.$ Фото задания

Accepted Answer

\[2-1\frac{41}{49}=2-\frac{90}{49}=\frac{8}{49}.\]

\[\frac{6}{35}:\frac{8}{49}=\frac{6}{35}\cdot\frac{49}{8}=\frac{21}{20}.\]

\[\frac{4}{15}+\frac{21}{20}-1\frac{1}{6}=\frac{16}{60}+\frac{63}{60}-\frac{70}{60}=\frac{9}{60}=\frac{3}{20}.\]

Ответ: $\frac{3}{20}$.

40. Вычислите: \(\frac{4}{15}+\frac{6}{35}:\left(2-1\frac{41}{49}\right)-1\frac{1}{6}\).