$$3+ \frac{ 8 }{ 38 }$$
$\frac{61}{19}\approx 3.210526316$
$$3+\frac{4}{19}$$
$$\frac{57}{19}+\frac{4}{19}$$
$$\frac{57+4}{19}$$
$$\frac{61}{19}$$
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$\frac{61}{19} = 3\frac{4}{19} = 3.210526315789474$