# Not so easy

Algebra Level 3

$\dfrac a{b+c} + \dfrac b{a+c} + \dfrac c{a+b}$

If $$a,b$$ and $$c$$ are positive real numbers, find the minimum value of the expression above. If this value can be expressed as $$\dfrac mn$$, where $$m$$ and $$n$$ are coprime positive integers, submit $$m+n$$ as your answer.

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