$$3\frac{4}{5}+38$$
$\frac{209}{5}=41.8$
$$\frac{15+4}{5}+38$$
$$\frac{19}{5}+38$$
$$\frac{19}{5}+\frac{190}{5}$$
$$\frac{19+190}{5}$$
$$\frac{209}{5}$$
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$\frac{11 \cdot 19}{5} = 41\frac{4}{5} = 41.8$