# Problem 26

Algebra Level 5

$\frac{2xy+4yz+3zx}{(x+y+z)^2}$

Given that $$x,y,z$$ are positive reals.If the maximum value can be expressed as $$\frac{m}{n}$$ where $$m,n$$ are coprime integers.Denote $$m+n$$.

This problem is in this Set.

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