$$- \frac { 2 } { 3 } \times \frac { 3 } { 5 } + \frac { 5 } { 2 } - \frac { 3 } { 5 } \times \frac { 1 } { 6 }$$
$2$
$$\frac{-2\times 3}{3\times 5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$$
$$\frac{-2}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$$
$$-\frac{2}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$$
$$-\frac{4}{10}+\frac{25}{10}-\frac{3}{5}\times \frac{1}{6}$$
$$\frac{-4+25}{10}-\frac{3}{5}\times \frac{1}{6}$$
$$\frac{21}{10}-\frac{3}{5}\times \frac{1}{6}$$
$$\frac{21}{10}-\frac{3\times 1}{5\times 6}$$
$$\frac{21}{10}-\frac{3}{30}$$
$$\frac{21}{10}-\frac{1}{10}$$
$$\frac{21-1}{10}$$
$$\frac{20}{10}$$
$$2$$
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