Simplify. \[ \frac{z^{4} y^{3}}{2 z^{4} y^{2}} \]

Step 1 ：Given the expression \(\frac{z^{4} y^{3}}{2 z^{4} y^{2}}\).

Step 2 ：We can simplify this expression by dividing the powers of z and y in the numerator by the powers of z and y in the denominator.

Step 3 ：This simplifies to \(\frac{y}{2}\).

Step 4 ：Final Answer: The simplified form of the given expression is \(\boxed{\frac{y}{2}}\).