Let $x$ and $y$ be positive real numbers such that $2x + 3y = 5.$  Find the minimum value of
\[\frac{3}{x} + \frac{2}{y}.\]The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Let's think step by step and output the final answer within \boxed{}.
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