$$m=\frac{\frac{2}{5}+9\div\frac{5}{2}}{\frac{5}{2}-\frac{3}{21}\times\frac{14}{4}}$$
$m=2$
$$m=\frac{\frac{2}{5}+9\times \frac{2}{5}}{\frac{5}{2}-\frac{3}{21}\times \frac{14}{4}}$$
$$m=\frac{\frac{2}{5}+\frac{9\times 2}{5}}{\frac{5}{2}-\frac{3}{21}\times \frac{14}{4}}$$
$$m=\frac{\frac{2}{5}+\frac{18}{5}}{\frac{5}{2}-\frac{3}{21}\times \frac{14}{4}}$$
$$m=\frac{\frac{2+18}{5}}{\frac{5}{2}-\frac{3}{21}\times \frac{14}{4}}$$
$$m=\frac{\frac{20}{5}}{\frac{5}{2}-\frac{3}{21}\times \frac{14}{4}}$$
$$m=\frac{4}{\frac{5}{2}-\frac{3}{21}\times \frac{14}{4}}$$
$$m=\frac{4}{\frac{5}{2}-\frac{1}{7}\times \frac{14}{4}}$$
$$m=\frac{4}{\frac{5}{2}-\frac{1}{7}\times \frac{7}{2}}$$
$$m=\frac{4}{\frac{5}{2}-\frac{1\times 7}{7\times 2}}$$
$$m=\frac{4}{\frac{5}{2}-\frac{1}{2}}$$
$$m=\frac{4}{\frac{5-1}{2}}$$
$$m=\frac{4}{\frac{4}{2}}$$
$$m=\frac{4}{2}$$
$$m=2$$
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$m≔2$