$$6 \frac { 1 } { 6 } + 1 \frac { 2 } { 3 } + 5 \frac { 5 } { 9 }$$
$\frac{241}{18}\approx 13.388888889$
$$\frac{36+1}{6}+\frac{1\times 3+2}{3}+\frac{5\times 9+5}{9}$$
$$\frac{37}{6}+\frac{1\times 3+2}{3}+\frac{5\times 9+5}{9}$$
$$\frac{37}{6}+\frac{3+2}{3}+\frac{5\times 9+5}{9}$$
$$\frac{37}{6}+\frac{5}{3}+\frac{5\times 9+5}{9}$$
$$\frac{37}{6}+\frac{10}{6}+\frac{5\times 9+5}{9}$$
$$\frac{37+10}{6}+\frac{5\times 9+5}{9}$$
$$\frac{47}{6}+\frac{5\times 9+5}{9}$$
$$\frac{47}{6}+\frac{45+5}{9}$$
$$\frac{47}{6}+\frac{50}{9}$$
$$\frac{141}{18}+\frac{100}{18}$$
$$\frac{141+100}{18}$$
$$\frac{241}{18}$$
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$\frac{241}{2 \cdot 3 ^ {2}} = 13\frac{7}{18} = 13.38888888888889$
