Simplify \(\frac{x - 4}{4} - \frac{x - 3}{6}\)
MATHEMATICS
WAEC 2006
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. \(\frac{x - 6}{24}\)
Correct Answer: B. \(\frac{x - 6}{12}\)
Explanation
\(\frac{x - 4}{4} - \frac{x - 3}{6}\) = \(\frac{3(x - 4) - 2(x - 3)}{12}\)
= \(\frac{3x -12 - 2x + 6}{12}\)
= \(\frac{3x - 2x - 12 + 6}{12}\)
= \(\frac{x - 6}{12}\)
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