# Mind your 3's and 2's

The sum of the reciprocals of all numbers that have a prime factorization of $$2^m3^n$$, where $$m$$ and $$n$$ are positive integers, can be represented by $$\dfrac{A}{B}$$, where $$A$$ and $$B$$ are positive coprime integers. What is $$A+B\text{?}$$

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