$$[ \frac { ( - 2 ) } { 3 } + \frac { 1 } { 2 } ] \div [ \frac { ( - 4 ) } { 5 } + 2 ]$$
$-\frac{5}{36}\approx -0.138888889$
$$\frac{-\frac{2}{3}+\frac{1}{2}}{\frac{-4}{5}+2}$$
$$\frac{-\frac{4}{6}+\frac{3}{6}}{\frac{-4}{5}+2}$$
$$\frac{\frac{-4+3}{6}}{\frac{-4}{5}+2}$$
$$\frac{-\frac{1}{6}}{\frac{-4}{5}+2}$$
$$\frac{-\frac{1}{6}}{-\frac{4}{5}+2}$$
$$\frac{-\frac{1}{6}}{-\frac{4}{5}+\frac{10}{5}}$$
$$\frac{-\frac{1}{6}}{\frac{-4+10}{5}}$$
$$\frac{-\frac{1}{6}}{\frac{6}{5}}$$
$$-\frac{1}{6}\times \frac{5}{6}$$
$$\frac{-5}{6\times 6}$$
$$\frac{-5}{36}$$
$$-\frac{5}{36}$$
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$-\frac{5}{36} = -0.1388888888888889$