$$\frac{2}{3}\div(1\frac{2}{5}-2\frac{1}{15})$$
$-1$
$$\frac{\frac{2}{3}}{\frac{5+2}{5}-\frac{2\times 15+1}{15}}$$
$$\frac{\frac{2}{3}}{\frac{7}{5}-\frac{2\times 15+1}{15}}$$
$$\frac{\frac{2}{3}}{\frac{7}{5}-\frac{30+1}{15}}$$
$$\frac{\frac{2}{3}}{\frac{7}{5}-\frac{31}{15}}$$
$$\frac{\frac{2}{3}}{\frac{21}{15}-\frac{31}{15}}$$
$$\frac{\frac{2}{3}}{\frac{21-31}{15}}$$
$$\frac{\frac{2}{3}}{\frac{-10}{15}}$$
$$\frac{\frac{2}{3}}{-\frac{2}{3}}$$
$$-1$$
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