# A nice ratio

Level pending

Let $$A$$ be the sum of squares of the reciprocals of all natural numbers and let $$B$$ be the sum of squares of reciprocals of all odd natural numbers. If $$\frac {A}{B}$$ can be expressed as $$\frac{x}{y}$$ where $$x$$ and $$y$$ are coprime natural numbers, find $$x+y$$.

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