$$2 \frac { 1 } { 4 } +8.5$$
$10.75$
$$\frac{8+1}{4}+8.5$$
$$\frac{9}{4}+8.5$$
$$\frac{9}{4}+\frac{17}{2}$$
$$\frac{9}{4}+\frac{34}{4}$$
$$\frac{9+34}{4}$$
$$\frac{43}{4}$$
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$\frac{43}{2 ^ {2}} = 10\frac{3}{4} = 10.75$