1. The problem is to simplify the expression $\frac{x}{x}$.\n\n2. The formula used here is the property of division: $\frac{a}{a} = 1$ for any $a \neq 0$. This means any nonzero number divided by itself equals 1.\n\n3. Important rule: Division by zero is undefined, so $x$ cannot be zero.\n\n4. Simplify the expression:\n$$\frac{x}{x} = \frac{\cancel{x}}{\cancel{x}} = 1$$\n\n5. Therefore, the simplified form of $\frac{x}{x}$ is 1, provided $x \neq 0$.