Найдите значение выражения: 1 4/5*(-2/3)^2:(1-0,2^3).

\[1\frac{4}{5} \cdot \left( - \frac{2}{3} \right)^{2}\ :\left( 1 - {0,2}^{3} \right) =\]

\[= \frac{9}{5} \cdot \frac{4}{9}\ :(1 - 0,008) = \frac{4}{5}\ :0,992 =\]

\[= \frac{4}{5}\ :\frac{992}{1000} = \frac{4}{5} \cdot \frac{1000}{992} = \frac{200}{248} =\]

\[= \frac{50}{62} = \frac{25}{31}.\]