$$\frac{3}{10}+\frac{1}{6}+3\frac{1}{5}$$
$\frac{11}{3}\approx 3.666666667$
$$\frac{9}{30}+\frac{5}{30}+\frac{3\times 5+1}{5}$$
$$\frac{9+5}{30}+\frac{3\times 5+1}{5}$$
$$\frac{14}{30}+\frac{3\times 5+1}{5}$$
$$\frac{7}{15}+\frac{3\times 5+1}{5}$$
$$\frac{7}{15}+\frac{15+1}{5}$$
$$\frac{7}{15}+\frac{16}{5}$$
$$\frac{7}{15}+\frac{48}{15}$$
$$\frac{7+48}{15}$$
$$\frac{55}{15}$$
$$\frac{11}{3}$$
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$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$
