Найдите значение выражения: (7/16-31/40):(-17/24+27/40).

\[\left( \frac{7}{16} - \frac{31}{40} \right)\ :\left( - \frac{17}{24} + \frac{27}{40} \right) =\]

\[= \frac{35 - 62}{80}\ :\frac{- 85 + 81}{120} =\]

\[= - \frac{27}{80}\ :\left( - \frac{4}{120} \right) =\]

\[= \frac{27 \cdot 120}{80 \cdot 4} = \frac{81}{8} = 10\frac{1}{8}\]