$$2\frac{2}{41}+1\frac{19}{63}$$
$\frac{8654}{2583}\approx 3.350367789$
$$\frac{82+2}{41}+\frac{1\times 63+19}{63}$$
$$\frac{84}{41}+\frac{1\times 63+19}{63}$$
$$\frac{84}{41}+\frac{63+19}{63}$$
$$\frac{84}{41}+\frac{82}{63}$$
$$\frac{5292}{2583}+\frac{3362}{2583}$$
$$\frac{5292+3362}{2583}$$
$$\frac{8654}{2583}$$
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$\frac{2 \cdot 4327}{3 ^ {2} \cdot 7 \cdot 41} = 3\frac{905}{2583} = 3.3503677893921795$
