\( a, b, c \) are real such that \( a+b+c=3 \) and \( \frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{c+a}=...

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\( a, b, c \) are real such that \( a+b+c=3 \) and \( \frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{c+a}=\frac{10}{3} \)
The value of \( \frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b} \) is
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