$$3+ \frac{ 7 }{ 37 }$$
$\frac{118}{37}\approx 3.189189189$
$$\frac{111}{37}+\frac{7}{37}$$
$$\frac{111+7}{37}$$
$$\frac{118}{37}$$
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$\frac{2 \cdot 59}{37} = 3\frac{7}{37} = 3.189189189189189$