Consider a fraction $$\frac{a}{b} \neq \frac{3}{4}$$ where $$𝑎, 𝑏$$ are positive integers with $$gcd(a,b) = 1$$ and $$b \leq 15$$. If this fraction is chosen closest to $$\frac{3}{4}$$ amongst all such fractions, then what is the value of $$a +b$$?

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