$$\frac{7}{11}+3\frac{2}{11}=$$
$\frac{42}{11}\approx 3.818181818$
$$\frac{7}{11}+\frac{33+2}{11}$$
$$\frac{7}{11}+\frac{35}{11}$$
$$\frac{7+35}{11}$$
$$\frac{42}{11}$$
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$\frac{2 \cdot 3 \cdot 7}{11} = 3\frac{9}{11} = 3.8181818181818183$
