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$$1\frac{1}{2}+11\frac{1}{2}+111\frac{1}{2}+1111\frac{1}{2}$$ is equal to
$$1\frac{1}{2}+11\frac{1}{2}+111\frac{1}{2}+1111\frac{1}{2} = \frac{3}{2} + \frac{23}{2} + \frac{223}{2} + \frac{2223}{2} = \frac{3 + 23 + 223 + 2223}{2} = \frac{2472}{2} = 1236$$
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