$$6 \frac { 2 } { 3 } + 4 \frac { 5 } { 6 }$$
$\frac{23}{2}=11.5$
$$\frac{18+2}{3}+\frac{4\times 6+5}{6}$$
$$\frac{20}{3}+\frac{4\times 6+5}{6}$$
$$\frac{20}{3}+\frac{24+5}{6}$$
$$\frac{20}{3}+\frac{29}{6}$$
$$\frac{40}{6}+\frac{29}{6}$$
$$\frac{40+29}{6}$$
$$\frac{69}{6}$$
$$\frac{23}{2}$$
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$\frac{23}{2} = 11\frac{1}{2} = 11.5$
