1. Stating the problem: Simplify the expression $$\frac{y_3}{y_5}$$. 2. Understanding the expression: Here, $y_3$ and $y_5$ represent variables with subscripts. When dividing variables with the same base but different subscripts, the division is simply represented as a fraction. 3. The expression $$\frac{y_3}{y_5}$$ cannot be simplified further algebraically as the subscripts 3 and 5 are just labels, not exponents. 4. Therefore, the simplified expression remains $$\frac{y_3}{y_5}$$. Final answer: $$\frac{y_3}{y_5}$$.