$$999 \frac { 1 } { 4 } + 99 \frac { 1 } { 3 } + 9 \frac { 1 } { 2 }$$
$\frac{13297}{12}\approx 1108.083333333$
$$\frac{3996+1}{4}+\frac{99\times 3+1}{3}+\frac{9\times 2+1}{2}$$
$$\frac{3997}{4}+\frac{99\times 3+1}{3}+\frac{9\times 2+1}{2}$$
$$\frac{3997}{4}+\frac{297+1}{3}+\frac{9\times 2+1}{2}$$
$$\frac{3997}{4}+\frac{298}{3}+\frac{9\times 2+1}{2}$$
$$\frac{11991}{12}+\frac{1192}{12}+\frac{9\times 2+1}{2}$$
$$\frac{11991+1192}{12}+\frac{9\times 2+1}{2}$$
$$\frac{13183}{12}+\frac{9\times 2+1}{2}$$
$$\frac{13183}{12}+\frac{18+1}{2}$$
$$\frac{13183}{12}+\frac{19}{2}$$
$$\frac{13183}{12}+\frac{114}{12}$$
$$\frac{13183+114}{12}$$
$$\frac{13297}{12}$$
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$\frac{13297}{2 ^ {2} \cdot 3} = 1108\frac{1}{12} = 1108.0833333333333$