$$6\frac{8}{9}-4\frac{6}{9}$$
$\frac{20}{9}\approx 2.222222222$
$$\frac{54+8}{9}-\frac{4\times 9+6}{9}$$
$$\frac{62}{9}-\frac{4\times 9+6}{9}$$
$$\frac{62}{9}-\frac{36+6}{9}$$
$$\frac{62}{9}-\frac{42}{9}$$
$$\frac{62-42}{9}$$
$$\frac{20}{9}$$
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$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$
