$$6 \frac { 4 } { 9 } + \frac { 5 } { 6 } + 3 \frac { 2 } { 3 }$$
$\frac{197}{18}\approx 10.944444444$
$$\frac{54+4}{9}+\frac{5}{6}+\frac{3\times 3+2}{3}$$
$$\frac{58}{9}+\frac{5}{6}+\frac{3\times 3+2}{3}$$
$$\frac{116}{18}+\frac{15}{18}+\frac{3\times 3+2}{3}$$
$$\frac{116+15}{18}+\frac{3\times 3+2}{3}$$
$$\frac{131}{18}+\frac{3\times 3+2}{3}$$
$$\frac{131}{18}+\frac{9+2}{3}$$
$$\frac{131}{18}+\frac{11}{3}$$
$$\frac{131}{18}+\frac{66}{18}$$
$$\frac{131+66}{18}$$
$$\frac{197}{18}$$
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$\frac{197}{2 \cdot 3 ^ {2}} = 10\frac{17}{18} = 10.944444444444445$
