$$\frac{8}{9}+\frac{10}{12}$$
$\frac{31}{18}\approx 1.722222222$
$$\frac{8}{9}+\frac{5}{6}$$
$$\frac{16}{18}+\frac{15}{18}$$
$$\frac{16+15}{18}$$
$$\frac{31}{18}$$
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$\frac{31}{2 \cdot 3 ^ {2}} = 1\frac{13}{18} = 1.7222222222222223$