Simplify the rational expressions below:
$\frac{6x}{12x}$

• A. $2x$
• B. $2$
• C. $\frac{1}{2}x$
• D. $\frac{1}{2}$

Answer: (D)

Verified step by step guidance

1. Start with the given rational expression: \(\frac{6x}{12x}\).
2. Identify common factors in the numerator and denominator. Both numerator and denominator have a factor of \(x\), so you can cancel \(x\) from both.
3. After canceling \(x\), the expression simplifies to \(\frac{6}{12}\).
4. Next, simplify the fraction \(\frac{6}{12}\) by dividing both numerator and denominator by their greatest common divisor, which is 6.
5. Dividing numerator and denominator by 6 gives \(\frac{1}{2}\), so the simplified expression is \(\frac{1}{2}\).