$$10 \frac{ 20 }{ 22 } =$$
$\frac{120}{11}\approx 10.909090909$
$$\frac{220+20}{22}$$
$$\frac{240}{22}$$
$$\frac{120}{11}$$
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$\frac{2 ^ {3} \cdot 3 \cdot 5}{11} = 10\frac{10}{11} = 10.909090909090908$
