$$\frac{5}{9}+\frac{15}{6}=$$
$\frac{55}{18}\approx 3.055555556$
$$\frac{5}{9}+\frac{5}{2}$$
$$\frac{10}{18}+\frac{45}{18}$$
$$\frac{10+45}{18}$$
$$\frac{55}{18}$$
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$\frac{5 \cdot 11}{2 \cdot 3 ^ {2}} = 3\frac{1}{18} = 3.0555555555555554$