$$2\frac{1}{4}+\frac{1}{2}$$
$\frac{11}{4}=2.75$
$$\frac{8+1}{4}+\frac{1}{2}$$
$$\frac{9}{4}+\frac{1}{2}$$
$$\frac{9}{4}+\frac{2}{4}$$
$$\frac{9+2}{4}$$
$$\frac{11}{4}$$
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$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$