$$1\frac{1}{7}\times4\frac{1}{2}$$
$\frac{36}{7}\approx 5.142857143$
$$\frac{7+1}{7}\times \frac{4\times 2+1}{2}$$
$$\frac{8}{7}\times \frac{4\times 2+1}{2}$$
$$\frac{8}{7}\times \frac{8+1}{2}$$
$$\frac{8}{7}\times \frac{9}{2}$$
$$\frac{8\times 9}{7\times 2}$$
$$\frac{72}{14}$$
$$\frac{36}{7}$$
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$\frac{2 ^ {2} \cdot 3 ^ {2}}{7} = 5\frac{1}{7} = 5.142857142857143$