# Titu's upside down

Algebra Level 5

Consider all $$x,y,z$$ positve reals that satisfy,

$\frac1x + \frac1y+\frac1z=\frac{11}6.$

If the minimum value of $$x+ \frac y4 +\frac z9$$ is in the form of $$\frac ab$$ for coprime positive integers $$a,b$$. Find $$a+b$$.

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