Are you good at summation

Algebra Level 5

\[ \large \sum_{n=1}^{25}\frac{1}{n(n+1)(n+2)(n+3)(n+4)(n+5)}\] If \(M\) denote the value of the summation above, with \(M = \frac a b\) for coprime positive integers, find \(a+b\).

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