Вопрос:

33. Вычислите: \(-1+\left(\frac{17}{24}+\frac{3}{8}\right):1\frac{5}{8}-\frac{5}{6}\).

Ответ:

\[\frac{17}{24}+\frac{3}{8}=\frac{17}{24}+\frac{9}{24}=\frac{13}{12}.\]

\[1\frac{5}{8}=\frac{13}{8},\qquad \frac{13}{12}:\frac{13}{8}=\frac{2}{3}.\]

\[-1+\frac{2}{3}-\frac{5}{6}=-\frac{6}{6}+\frac{4}{6}-\frac{5}{6}=-\frac{7}{6}.\]

Ответ: \(-\frac{7}{6}\).