$$2\div\frac{8}{9}=$$
$\frac{9}{4}=2.25$
$$2\times \frac{9}{8}$$
$$\frac{2\times 9}{8}$$
$$\frac{18}{8}$$
$$\frac{9}{4}$$
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$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$