$$( \frac { 9 } { 5 } \times \frac { - 10 } { 3 } ) - ( \frac { 1 } { 2 } \times \frac { 3 } { 4 } ) + ( \frac { - 3 } { 2 } \times \frac { 4 } { 5 } )$$
$-\frac{303}{40}=-7.575$
$$\frac{9}{5}\left(-\frac{10}{3}\right)-\frac{1}{2}\times \frac{3}{4}+\frac{-3}{2}\times \frac{4}{5}$$
$$\frac{9\left(-10\right)}{5\times 3}-\frac{1}{2}\times \frac{3}{4}+\frac{-3}{2}\times \frac{4}{5}$$
$$\frac{-90}{15}-\frac{1}{2}\times \frac{3}{4}+\frac{-3}{2}\times \frac{4}{5}$$
$$-6-\frac{1}{2}\times \frac{3}{4}+\frac{-3}{2}\times \frac{4}{5}$$
$$-6-\frac{1\times 3}{2\times 4}+\frac{-3}{2}\times \frac{4}{5}$$
$$-6-\frac{3}{8}+\frac{-3}{2}\times \frac{4}{5}$$
$$-\frac{48}{8}-\frac{3}{8}+\frac{-3}{2}\times \frac{4}{5}$$
$$\frac{-48-3}{8}+\frac{-3}{2}\times \frac{4}{5}$$
$$-\frac{51}{8}+\frac{-3}{2}\times \frac{4}{5}$$
$$-\frac{51}{8}-\frac{3}{2}\times \frac{4}{5}$$
$$-\frac{51}{8}+\frac{-3\times 4}{2\times 5}$$
$$-\frac{51}{8}+\frac{-12}{10}$$
$$-\frac{51}{8}-\frac{6}{5}$$
$$-\frac{255}{40}-\frac{48}{40}$$
$$\frac{-255-48}{40}$$
$$-\frac{303}{40}$$
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$-\frac{303}{40} = -7\frac{23}{40} = -7.575$
