Partially hard summation

Algebra Level 3

11×2×3+12×3×4+13×4×5++198×99×100\large \dfrac{1}{1 \times 2 \times 3} + \dfrac{1}{2 \times 3 \times 4} + \dfrac{1}{3 \times 4 \times 5} + \cdots + \dfrac{1}{98 \times 99 \times 100}

Find the exact value of the summation above.

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