$$6\frac{4}{6}+6\frac{4}{5}$$
$\frac{202}{15}\approx 13.466666667$
$$\frac{36+4}{6}+\frac{6\times 5+4}{5}$$
$$\frac{40}{6}+\frac{6\times 5+4}{5}$$
$$\frac{20}{3}+\frac{6\times 5+4}{5}$$
$$\frac{20}{3}+\frac{30+4}{5}$$
$$\frac{20}{3}+\frac{34}{5}$$
$$\frac{100}{15}+\frac{102}{15}$$
$$\frac{100+102}{15}$$
$$\frac{202}{15}$$
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$\frac{2 \cdot 101}{3 \cdot 5} = 13\frac{7}{15} = 13.466666666666667$
