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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. \(\frac{x - 6}{24}\)
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Correct Answer: Option B
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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