$$3\frac{4}{10}+1\frac{2}{10}$$
$\frac{23}{5}=4.6$
$$\frac{30+4}{10}+\frac{1\times 10+2}{10}$$
$$\frac{34}{10}+\frac{1\times 10+2}{10}$$
$$\frac{17}{5}+\frac{1\times 10+2}{10}$$
$$\frac{17}{5}+\frac{10+2}{10}$$
$$\frac{17}{5}+\frac{12}{10}$$
$$\frac{17}{5}+\frac{6}{5}$$
$$\frac{17+6}{5}$$
$$\frac{23}{5}$$
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$\frac{23}{5} = 4\frac{3}{5} = 4.6$