$$9\frac{2}{5}-(2\frac{4}{5}+3\frac{3}{5})$$
$3$
$$\frac{45+2}{5}-\left(\frac{2\times 5+4}{5}+\frac{3\times 5+3}{5}\right)$$
$$\frac{47}{5}-\left(\frac{2\times 5+4}{5}+\frac{3\times 5+3}{5}\right)$$
$$\frac{47}{5}-\left(\frac{10+4}{5}+\frac{3\times 5+3}{5}\right)$$
$$\frac{47}{5}-\left(\frac{14}{5}+\frac{3\times 5+3}{5}\right)$$
$$\frac{47}{5}-\left(\frac{14}{5}+\frac{15+3}{5}\right)$$
$$\frac{47}{5}-\left(\frac{14}{5}+\frac{18}{5}\right)$$
$$\frac{47}{5}-\frac{14+18}{5}$$
$$\frac{47}{5}-\frac{32}{5}$$
$$\frac{47-32}{5}$$
$$\frac{15}{5}$$
$$3$$
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