Simplify \(\frac{x - 4}{4} - \frac{x - 3}{6}\)
A
\(\frac{x - 18}{12}\)
B
\(\frac{x - 6}{12}\)
C
\(\frac{x - 18}{24}\)
D
\(\frac{x - 6}{24}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{x - 4}{4} - \frac{x - 3}{6}\) = \(\frac{3(x - 4) - 2(x - 3)}{12}\)
= \(\frac{3x -12 - 2x + 6}{12}\)
= \(\frac{3x - 2x - 12 + 6}{12}\)
= \(\frac{x - 6}{12}\)
Source: Myschool Past Questions Archive (Record #36159)