Найдите значение выражения (4 5/9-3 7/12):(-1 8/27).

\[\left( 4\frac{5}{9} - 3\frac{7}{12} \right)\ :\left( - 1\frac{8}{27} \right) =\]

\[= \left( 4\frac{5 \cdot 4}{36} - 3\frac{7 \cdot 3}{36} \right)\ :\left( - \frac{35}{27} \right) =\]

\[= \left( 4\frac{20}{36} - 3\frac{21}{36} \right) \cdot \left( - \frac{27}{35} \right) =\]

\[= \left( 3\frac{56}{36} - 3\frac{21}{36} \right) \cdot \left( - \frac{27}{35} \right) =\]

\[= \frac{35}{36} \cdot \left( - \frac{27}{35} \right) = - \frac{35 \cdot 27}{36 \cdot 35} = - \frac{27}{36} = - \frac{3}{4}\text{.\ }\]