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The curve of $\sin { \left( ax \right) }$ is tangent to the curve of $\sin { \left( x \right) }$ at $x=\frac { 5\pi }{2 }$.

If minimum positive value of $a$ can be expressed as $\frac { A }{B }$ for co-prime $A$ and $B$, then find $A+B$.

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