Simplify. \[ \frac{4 w x}{36 x y} \]

To simplify the expression \(\frac{4 w x}{36 x y}\), we can start by canceling out the common factors in the numerator and denominator. First, notice that both the numerator and the denominator have an \(x\) term. We can cancel \(x\) from both: \[ \frac{4 w \cancel{x}}{36 \cancel{x} y} = \frac{4 w}{36 y} \] Next, we can simplify the fraction \(\frac{4}{36}\). The greatest common divisor of 4 and 36 is 4, so we divide both the numerator and the denominator by 4: \[ \frac{4 \div 4}{36 \div 4} = \frac{1}{9} \] Putting it all together, we get: \[ \frac{4 w x}{36 x y} = \frac{1 w}{9 y} = \frac{w}{9 y} \] Thus, the simplified expression is: \[ \frac{w}{9 y} \]