$$\frac{ 5 }{ 9 } +4$$
$\frac{41}{9}\approx 4.555555556$
$$\frac{5}{9}+\frac{36}{9}$$
$$\frac{5+36}{9}$$
$$\frac{41}{9}$$
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$\frac{41}{3 ^ {2}} = 4\frac{5}{9} = 4.555555555555555$