1. **State the problem:** Simplify the expression $\frac{6x}{12}$. 2. **Formula and rules:** To simplify a fraction, divide the numerator and denominator by their greatest common divisor (GCD). 3. **Find the GCD:** The GCD of 6 and 12 is 6. 4. **Divide numerator and denominator by 6:** $$\frac{6x}{12} = \frac{6x \div 6}{12 \div 6} = \frac{x}{2}$$ 5. **Final answer:** The simplified form of $\frac{6x}{12}$ is $\frac{x}{2}$. This means the expression reduces to half of $x$.