$$2\frac{2}{3}\times1\frac{10}{11}$$
$\frac{56}{11}\approx 5.090909091$
$$\frac{6+2}{3}\times \frac{1\times 11+10}{11}$$
$$\frac{8}{3}\times \frac{1\times 11+10}{11}$$
$$\frac{8}{3}\times \frac{11+10}{11}$$
$$\frac{8}{3}\times \frac{21}{11}$$
$$\frac{8\times 21}{3\times 11}$$
$$\frac{168}{33}$$
$$\frac{56}{11}$$
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$\frac{2 ^ {3} \cdot 7}{11} = 5\frac{1}{11} = 5.090909090909091$