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Simplify frac x - 4 4 - frac x - 3 6 - WAEC Mathematics 2006 Question

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 Option: B

(\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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