$$6\frac{1}{4}+2\frac{2}{9}$$
$\frac{305}{36}\approx 8.472222222$
$$\frac{24+1}{4}+\frac{2\times 9+2}{9}$$
$$\frac{25}{4}+\frac{2\times 9+2}{9}$$
$$\frac{25}{4}+\frac{18+2}{9}$$
$$\frac{25}{4}+\frac{20}{9}$$
$$\frac{225}{36}+\frac{80}{36}$$
$$\frac{225+80}{36}$$
$$\frac{305}{36}$$
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$\frac{5 \cdot 61}{2 ^ {2} \cdot 3 ^ {2}} = 8\frac{17}{36} = 8.472222222222221$
