$$2\frac{1}{4}+1\frac{3}{2}$$
$\frac{19}{4}=4.75$
$$\frac{8+1}{4}+\frac{1\times 2+3}{2}$$
$$\frac{9}{4}+\frac{1\times 2+3}{2}$$
$$\frac{9}{4}+\frac{2+3}{2}$$
$$\frac{9}{4}+\frac{5}{2}$$
$$\frac{9}{4}+\frac{10}{4}$$
$$\frac{9+10}{4}$$
$$\frac{19}{4}$$
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$\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4.75$