$$1 \frac { 1 } { 2 } + 2 \frac { 3 } { 4 }$$
$\frac{17}{4}=4.25$
$$\frac{2+1}{2}+\frac{2\times 4+3}{4}$$
$$\frac{3}{2}+\frac{2\times 4+3}{4}$$
$$\frac{3}{2}+\frac{8+3}{4}$$
$$\frac{3}{2}+\frac{11}{4}$$
$$\frac{6}{4}+\frac{11}{4}$$
$$\frac{6+11}{4}$$
$$\frac{17}{4}$$
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$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$
