$$6\frac{1}{4}+2\frac{5}{9}$$
$\frac{317}{36}\approx 8.805555556$
$$\frac{24+1}{4}+\frac{2\times 9+5}{9}$$
$$\frac{25}{4}+\frac{2\times 9+5}{9}$$
$$\frac{25}{4}+\frac{18+5}{9}$$
$$\frac{25}{4}+\frac{23}{9}$$
$$\frac{225}{36}+\frac{92}{36}$$
$$\frac{225+92}{36}$$
$$\frac{317}{36}$$
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$\frac{317}{2 ^ {2} \cdot 3 ^ {2}} = 8\frac{29}{36} = 8.805555555555555$
