Fun with series 1

Algebra Level 2

The value of

\(\frac{1}{11\times13}+\frac{1}{13\times15}+\frac{1}{15\times17}+\frac{1}{17\times19}+\frac{1}{19\times21}+\frac{1}{21\times23}+\frac{1}{46}\)

is \(\frac{m}{n}\) for relatively prime \(m\) and \(n\). Find \(m+n\).

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