$$\frac { 5 } { 9 } - 2 + ( \frac { 1 } { 2 } + \frac { 2 } { 3 } ) \div \frac { 4 } { 3 } \times \frac { 3 } { 5 }$$
$-\frac{331}{360}\approx -0.919444444$
$$\frac{5}{9}-\frac{18}{9}+\frac{\frac{1}{2}+\frac{2}{3}}{\frac{4}{3}}\times \frac{3}{5}$$
$$\frac{5-18}{9}+\frac{\frac{1}{2}+\frac{2}{3}}{\frac{4}{3}}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{\frac{1}{2}+\frac{2}{3}}{\frac{4}{3}}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{\frac{3}{6}+\frac{4}{6}}{\frac{4}{3}}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{\frac{3+4}{6}}{\frac{4}{3}}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{\frac{7}{6}}{\frac{4}{3}}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{7}{6}\times \frac{3}{4}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{7\times 3}{6\times 4}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{21}{24}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{7}{8}\times \frac{3}{5}$$
$$-\frac{13}{9}+\frac{7\times 3}{8\times 5}$$
$$-\frac{13}{9}+\frac{21}{40}$$
$$-\frac{520}{360}+\frac{189}{360}$$
$$\frac{-520+189}{360}$$
$$-\frac{331}{360}$$
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$-\frac{331}{360} = -0.9194444444444444$
