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Ratio of Basels

Algebra 1095
Compute the exact value of:$$\frac{\frac{1}{1^2} + \frac{1}{3^2} + \frac{1}{5^2} + \dots}{\frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \dots }$$The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime integers. Input the value of $\alpha+\beta$