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$\large{S = \dfrac{3^2 + 1}{3^2 - 1} + \dfrac{5^2 + 1}{5^2 - 1} + \dfrac{7^2 + 1}{7^2 - 1} + \ldots + \dfrac{2015^2 + 1}{2015^2 - 1}}$

If $S$ can be expressed as $\dfrac{A}{B}$ for positive coprime integers $A,B$, then find the value of $A+B$.

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