$$2- \frac{ 3 }{ 5 } +4.7$$
$6.1$
$$\frac{10}{5}-\frac{3}{5}+4.7$$
$$\frac{10-3}{5}+4.7$$
$$\frac{7}{5}+4.7$$
$$\frac{7}{5}+\frac{47}{10}$$
$$\frac{14}{10}+\frac{47}{10}$$
$$\frac{14+47}{10}$$
$$\frac{61}{10}$$
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$\frac{61}{2 \cdot 5} = 6\frac{1}{10} = 6.1$