$$\frac{253}{242}+\frac{120}{30}$$
$\frac{111}{22}\approx 5.045454545$
$$\frac{23}{22}+\frac{120}{30}$$
$$\frac{23}{22}+4$$
$$\frac{23}{22}+\frac{88}{22}$$
$$\frac{23+88}{22}$$
$$\frac{111}{22}$$
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$\frac{3 \cdot 37}{2 \cdot 11} = 5\frac{1}{22} = 5.045454545454546$
