# abc of maths

Algebra Level 3

If $\frac{a}{b+c} + \frac{b}{a+c} + \frac{c}{a+b} = 0$ and $$a+b+c = 5$$, the value of $\frac{1}{b+c} + \frac{1}{a+c} + \frac{1}{a+b}$ can be expressed in the form $$\frac{m}{n}$$, where $$m$$ and $$n$$ are coprime, positive integers. Find the value of $$m+n$$.

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