Найдите значение выражения: 2 5/6+(-3 7/8)-(-2 1/12)-1 2/3.

Ответ:

\[2\frac{5}{6} + \left( - 3\frac{7}{8} \right) - \left( - 2\frac{1}{12} \right) - 1\frac{2}{3} =\]

\[= 2\frac{20}{24} - 3\frac{21}{24} + 2\frac{2}{24} - 1\frac{16}{24} =\]

\[= \left( 2\frac{20}{24} + 2\frac{2}{24} \right) - \left( 3\frac{21}{24} + 1\frac{16}{24} \right) =\]

\[= 4\frac{22}{24} - 4\frac{37}{24} =\]

\[= - \left( 4\frac{37}{24} - 4\frac{22}{24} \right) =\]

\[= - \frac{15}{24} = - \frac{5}{8}\]