Verified answer

Answer:

The answer is 1/6

Step-by-step explanation:

Given,
X = -2
Y = -1
Z = 3
Given Expression : [tex]\frac{x}{y} + \frac{y}{z} + \frac{z}{x}[/tex]
⇒ [tex]\frac{-2}{-1} +\frac{-1}{3} + \frac{3}{-2}[/tex]
⇒ [tex]\frac{2}{1} +\frac{-1}{3} +\frac{-3}{2}[/tex]
⇒ [tex]\frac{2 *6}{1*6} + \frac{-1 *2}{ 3*2} + \frac{-3 *3}{2*3}[/tex] =
⇒  [tex]\frac{12}{6} -\frac{2}{6} -\frac{9}{6}[/tex] = [tex]\frac{1}{6}[/tex]
∴The answer for the given expression  is [tex]\frac{1}{6}[/tex]

Hope this helps!