$$45\times5\frac{1}{2}=$$
$\frac{495}{2}=247.5$
$$45\times \frac{10+1}{2}$$
$$45\times \frac{11}{2}$$
$$\frac{45\times 11}{2}$$
$$\frac{495}{2}$$
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$\frac{3 ^ {2} \cdot 5 \cdot 11}{2} = 247\frac{1}{2} = 247.5$
