$$1\frac{1}{8}\times2\frac{16}{11}$$
$\frac{171}{44}\approx 3.886363636$
$$\frac{8+1}{8}\times \frac{2\times 11+16}{11}$$
$$\frac{9}{8}\times \frac{2\times 11+16}{11}$$
$$\frac{9}{8}\times \frac{22+16}{11}$$
$$\frac{9}{8}\times \frac{38}{11}$$
$$\frac{9\times 38}{8\times 11}$$
$$\frac{342}{88}$$
$$\frac{171}{44}$$
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$\frac{3 ^ {2} \cdot 19}{2 ^ {2} \cdot 11} = 3\frac{39}{44} = 3.8863636363636362$
