$$12\frac{1}{10}+9\frac{1}{10}$$
$\frac{106}{5}=21.2$
$$\frac{120+1}{10}+\frac{9\times 10+1}{10}$$
$$\frac{121}{10}+\frac{9\times 10+1}{10}$$
$$\frac{121}{10}+\frac{90+1}{10}$$
$$\frac{121}{10}+\frac{91}{10}$$
$$\frac{121+91}{10}$$
$$\frac{212}{10}$$
$$\frac{106}{5}$$
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$\frac{2 \cdot 53}{5} = 21\frac{1}{5} = 21.2$