1. **State the problem:** Simplify the expression $\frac{65}{x}$ or understand its meaning. 2. **Formula and rules:** The expression $\frac{65}{x}$ represents division where 65 is the numerator and $x$ is the denominator. 3. **Important rules:** - Division by a variable means the numerator is divided by the value of the variable. - The variable $x$ cannot be zero because division by zero is undefined. 4. **Intermediate work:** - The expression is already in simplest form unless you have a specific value for $x$. - If you want to rewrite it, you can write it as $65 \times \frac{1}{x}$. 5. **Explanation:** - This expression means "65 divided by $x$." If you know the value of $x$, you can substitute it and calculate the result. - For example, if $x=5$, then $\frac{65}{5} = 13$. **Final answer:** The expression $\frac{65}{x}$ is already simplified and represents 65 divided by $x$, with the restriction that $x \neq 0$.