$$7\frac{1}{9}-3\frac{2}{3}$$
$\frac{31}{9}\approx 3.444444444$
$$\frac{63+1}{9}-\frac{3\times 3+2}{3}$$
$$\frac{64}{9}-\frac{3\times 3+2}{3}$$
$$\frac{64}{9}-\frac{9+2}{3}$$
$$\frac{64}{9}-\frac{11}{3}$$
$$\frac{64}{9}-\frac{33}{9}$$
$$\frac{64-33}{9}$$
$$\frac{31}{9}$$
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$\frac{31}{3 ^ {2}} = 3\frac{4}{9} = 3.4444444444444446$