Diagonal Switch

$a + \frac {b}{c}$ is equal to $\frac {ac}{c} + \frac {b}{c}$ or $\frac {ac + b}{c}$ . If you multiply this by $c$ , $ac + b = 0$

$c + \frac {b}{a}$ is equal to $\frac {ac}{a} + \frac {b}{a}$ or $\frac {ac + b}{a}$ . If you multiply this by $a$ , $ac + b = aN$ where $N$ is the answer.

Wait a minute though, this is the same equation as previously. $cN = 0$ . The answer is $0$

Assuming that $a \neq 0$ , we can multiply both sides by c to get $c*a + b = 0$ then divide both sides by $a$ to get $c + b/a = \boxed{0}$

by doing the LCM FOR THE GIVEN part a+b/c=0 we get ac=b=0...now dividing both sides by a...we get c+b/a=0 SO our answer is 0