$$11 \frac { 1 } { 4 } \div \frac { 3 } { 8 }$$
$30$
$$\frac{\left(11\times 4+1\right)\times 8}{4\times 3}$$
$$\frac{2\left(1+4\times 11\right)}{3}$$
$$\frac{2\left(1+44\right)}{3}$$
$$\frac{2\times 45}{3}$$
$$\frac{90}{3}$$
$$30$$
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$2\times 3\times 5$