$$2\frac{4}{9}+1\frac{1}{3}$$
$\frac{34}{9}\approx 3.777777778$
$$\frac{18+4}{9}+\frac{1\times 3+1}{3}$$
$$\frac{22}{9}+\frac{1\times 3+1}{3}$$
$$\frac{22}{9}+\frac{3+1}{3}$$
$$\frac{22}{9}+\frac{4}{3}$$
$$\frac{22}{9}+\frac{12}{9}$$
$$\frac{22+12}{9}$$
$$\frac{34}{9}$$
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$\frac{2 \cdot 17}{3 ^ {2}} = 3\frac{7}{9} = 3.7777777777777777$
