$$\frac{5}{3}+\frac{13}{5}+2\frac{1}{15}$$
$\frac{19}{3}\approx 6.333333333$
$$\frac{25}{15}+\frac{39}{15}+\frac{2\times 15+1}{15}$$
$$\frac{25+39}{15}+\frac{2\times 15+1}{15}$$
$$\frac{64}{15}+\frac{2\times 15+1}{15}$$
$$\frac{64}{15}+\frac{30+1}{15}$$
$$\frac{64}{15}+\frac{31}{15}$$
$$\frac{64+31}{15}$$
$$\frac{95}{15}$$
$$\frac{19}{3}$$
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$\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333$