Logical Sum of Fractions...

Find the sum of 11×2+12×3+13×4+14×5+15×6++199×100\frac{1}{1\times 2 } + \frac{1}{ 2\times 3 } +\frac{ 1}{ 3\times 4} + \frac{1}{ 4\times 5} + \frac{1}{5\times 6}+\ldots+\frac{1}{99\times 100}

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