$$7\frac{1}{2}\div1\frac{1}{4}$$
$6$
$$\frac{\left(7\times 2+1\right)\times 4}{2\left(1\times 4+1\right)}$$
$$\frac{2\left(1+2\times 7\right)}{1+4}$$
$$\frac{2\left(1+14\right)}{1+4}$$
$$\frac{2\times 15}{1+4}$$
$$\frac{30}{1+4}$$
$$\frac{30}{5}$$
$$6$$
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$2\times 3$
