Вопрос:

57. Вычислите: \(-\frac75+\frac{18}{35}\cdot1\frac{22}{27}+4:6\frac{2}{13}\).

Ответ:

\[1\frac{22}{27}=\frac{49}{27},\quad 6\frac2{13}=\frac{80}{13}.\]

\[-\frac75+\frac{18}{35}\cdot\frac{49}{27}+4:\frac{80}{13}=-\frac75+\frac{14}{15}+\frac{13}{20}.\]

\[ -\frac75+\frac{14}{15}+\frac{13}{20}=\frac{-84+56+39}{60}=\frac{11}{60}.\]

Ответ: \(\frac{11}{60}\).