Easy inequality

Algebra Level 3

ab+c+bc+a+ca+b\large \dfrac{a}{b+c}+\dfrac{b}{c+a}+\dfrac{c}{a+b}

If a,ba,b and cc are non-negative real numbers and the minimum value of the above expression is in the form ab\dfrac{a}{b}, where aa and bb are coprime positive integers, find a+ba+b.

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