If a+b+c=0 then the value of (a+b/c + b+c/a + c+a/b) is:

If a+b+c=0 then the value of (a+b/c + b+c/a + c+a/b) is:
Answer: "9"

When a+b+c=0 the expression (a+b)/c + (b+c)/a + (c+a)/b simplifies to 9 algebraically. This problem tests understanding of fractions and identities key for solving complex equations in mathematics.