$$12\frac{1}{2}\times4\frac{1}{2}\times\frac{4}{3}$$
$75$
$$\frac{24+1}{2}\times \frac{4\times 2+1}{2}\times \frac{4}{3}$$
$$\frac{25}{2}\times \frac{4\times 2+1}{2}\times \frac{4}{3}$$
$$\frac{25}{2}\times \frac{8+1}{2}\times \frac{4}{3}$$
$$\frac{25}{2}\times \frac{9}{2}\times \frac{4}{3}$$
$$\frac{25\times 9}{2\times 2}\times \frac{4}{3}$$
$$\frac{225}{4}\times \frac{4}{3}$$
$$\frac{225\times 4}{4\times 3}$$
$$\frac{225}{3}$$
$$75$$
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$3\times 5^{2}$