Question

if a+b+c=0 then the value of a+b/c+b+c/a+c+a/b

Answer 1

a+b+c = 0
a+b = -c -----(1)
b+c = -a -----(2)
a+c = -b -----(3)

Now,
[(a+b) /c] +[(b+c) /a]+[(a+c)/b]
= (-c/c) +(-a/a) +(-b/b)
= - 1 - 1 - 1
= -3