$$9\frac{1}{2}+7\frac{1}{4}=$$
$\frac{67}{4}=16.75$
$$\frac{18+1}{2}+\frac{7\times 4+1}{4}$$
$$\frac{19}{2}+\frac{7\times 4+1}{4}$$
$$\frac{19}{2}+\frac{28+1}{4}$$
$$\frac{19}{2}+\frac{29}{4}$$
$$\frac{38}{4}+\frac{29}{4}$$
$$\frac{38+29}{4}$$
$$\frac{67}{4}$$
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$\frac{67}{2 ^ {2}} = 16\frac{3}{4} = 16.75$
