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