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Algebra Level 3

ab+c+d+ba+c+d+ca+b+d+da+b+c \dfrac a{b+c+d} + \dfrac b{a+c+d} + \dfrac c{a+b+d} + \dfrac d{a+b+c}

If a,b,ca,b,c and dd are positive real numbers, find the minimum value of the expression above.

Give your answer to 2 decimal places.

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