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

• A. $2x$
• B. $2$
• C. $\frac12x$
• D. $\frac12$

Answer: (D)

Verified step by step guidance

1. Start with the given rational expression: \(\frac{6x}{12x}\).
2. Identify the common factors in the numerator and denominator. Both numerator and denominator have a factor of \(x\) and numerical coefficients 6 and 12.
3. Factor out the common terms: \(\frac{6 \times x}{12 \times x}\).
4. Cancel the common factor \(x\) from numerator and denominator, since \(x \neq 0\).
5. Simplify the numerical fraction \(\frac{6}{12}\) by dividing numerator and denominator by their greatest common divisor, which is 6, resulting in \(\frac{1}{2}\).