$$\frac { 11 \frac { 1 } { 2 } } { 114 }$$
$\frac{23}{228}\approx 0.100877193$
$$\frac{11\times 2+1}{2\times 114}$$
$$\frac{22+1}{2\times 114}$$
$$\frac{23}{2\times 114}$$
$$\frac{23}{228}$$
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$\frac{23}{2 ^ {2} \cdot 3 \cdot 19} = 0.10087719298245613$
