$$6\frac{2}{9}+13\frac{15}{25}=$$
$\frac{892}{45}\approx 19.822222222$
$$\frac{54+2}{9}+\frac{13\times 25+15}{25}$$
$$\frac{56}{9}+\frac{13\times 25+15}{25}$$
$$\frac{56}{9}+\frac{325+15}{25}$$
$$\frac{56}{9}+\frac{340}{25}$$
$$\frac{56}{9}+\frac{68}{5}$$
$$\frac{280}{45}+\frac{612}{45}$$
$$\frac{280+612}{45}$$
$$\frac{892}{45}$$
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$\frac{2 ^ {2} \cdot 223}{3 ^ {2} \cdot 5} = 19\frac{37}{45} = 19.822222222222223$
