41. Вычислите: $\frac{11}{14}+\frac{8}{15}:\left(4-2\frac{26}{27}\right)-1\frac{1}{10}$.

Question

$Фото задания: 41. Вычислите: $\frac{11}{14}+\frac{8}{15}:\left(4-2\frac{26}{27}\right)-1\frac{1}{10}$.$ Фото задания

Accepted Answer

\[4-2\frac{26}{27}=4-\frac{80}{27}=\frac{28}{27}.\]

\[\frac{8}{15}:\frac{28}{27}=\frac{8}{15}\cdot\frac{27}{28}=\frac{18}{35}.\]

\[\frac{11}{14}+\frac{18}{35}-1\frac{1}{10}=\frac{55}{70}+\frac{36}{70}-\frac{77}{70}=\frac{14}{70}=\frac{1}{5}.\]

Ответ: $\frac{1}{5}$.

41. Вычислите: \(\frac{11}{14}+\frac{8}{15}:\left(4-2\frac{26}{27}\right)-1\frac{1}{10}\).