$$3\frac{3}{4}+5\frac{1}{2}=$$
$\frac{37}{4}=9.25$
$$\frac{12+3}{4}+\frac{5\times 2+1}{2}$$
$$\frac{15}{4}+\frac{5\times 2+1}{2}$$
$$\frac{15}{4}+\frac{10+1}{2}$$
$$\frac{15}{4}+\frac{11}{2}$$
$$\frac{15}{4}+\frac{22}{4}$$
$$\frac{15+22}{4}$$
$$\frac{37}{4}$$
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$\frac{37}{2 ^ {2}} = 9\frac{1}{4} = 9.25$
