$$3\frac{1}{5}+5\frac{1}{5}+2\frac{1}{5}$$
$\frac{53}{5}=10.6$
$$\frac{15+1}{5}+\frac{5\times 5+1}{5}+\frac{2\times 5+1}{5}$$
$$\frac{16}{5}+\frac{5\times 5+1}{5}+\frac{2\times 5+1}{5}$$
$$\frac{16}{5}+\frac{25+1}{5}+\frac{2\times 5+1}{5}$$
$$\frac{16}{5}+\frac{26}{5}+\frac{2\times 5+1}{5}$$
$$\frac{16+26}{5}+\frac{2\times 5+1}{5}$$
$$\frac{42}{5}+\frac{2\times 5+1}{5}$$
$$\frac{42}{5}+\frac{10+1}{5}$$
$$\frac{42}{5}+\frac{11}{5}$$
$$\frac{42+11}{5}$$
$$\frac{53}{5}$$
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$\frac{53}{5} = 10\frac{3}{5} = 10.6$