$$( - \frac { 5 } { 2 } + \frac { 6 } { 5 } ) + [ \frac { 4 } { 3 } \div ( \frac { 2 } { 3 } + 2 ) ]$$
$-\frac{4}{5}=-0.8$
$$-\frac{25}{10}+\frac{12}{10}+\frac{\frac{4}{3}}{\frac{2}{3}+2}$$
$$\frac{-25+12}{10}+\frac{\frac{4}{3}}{\frac{2}{3}+2}$$
$$-\frac{13}{10}+\frac{\frac{4}{3}}{\frac{2}{3}+2}$$
$$-\frac{13}{10}+\frac{\frac{4}{3}}{\frac{2}{3}+\frac{6}{3}}$$
$$-\frac{13}{10}+\frac{\frac{4}{3}}{\frac{2+6}{3}}$$
$$-\frac{13}{10}+\frac{\frac{4}{3}}{\frac{8}{3}}$$
$$-\frac{13}{10}+\frac{4}{3}\times \frac{3}{8}$$
$$-\frac{13}{10}+\frac{4\times 3}{3\times 8}$$
$$-\frac{13}{10}+\frac{4}{8}$$
$$-\frac{13}{10}+\frac{1}{2}$$
$$-\frac{13}{10}+\frac{5}{10}$$
$$\frac{-13+5}{10}$$
$$\frac{-8}{10}$$
$$-\frac{4}{5}$$
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$-\frac{4}{5} = -0.8$