$$7\frac{1}{2}\times3\frac{1}{5}=$$
$24$
$$\frac{14+1}{2}\times \frac{3\times 5+1}{5}$$
$$\frac{15}{2}\times \frac{3\times 5+1}{5}$$
$$\frac{15}{2}\times \frac{15+1}{5}$$
$$\frac{15}{2}\times \frac{16}{5}$$
$$\frac{15\times 16}{2\times 5}$$
$$\frac{240}{10}$$
$$24$$
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$2^{3}\times 3$
