WAEC SSCE - General Mathematics - 2006…

Simplify $\frac{x - 4}{4} - \frac{x - 3}{6}$

$\frac{x - 18}{12}$

$\frac{x - 6}{12}$ Resposta correta

$\frac{x - 18}{24}$

$\frac{x - 6}{24}$

Detalhes da Resposta

To simplify the given expression, we first need to find a common denominator for the two fractions. In this case, the least common multiple of 4 and 6 is 12. So, we can write: \[\frac{x - 4}{4} - \frac{x - 3}{6} = \frac{3(x - 4)}{12} - \frac{2(x - 3)}{12}\] Now, we can combine the two fractions by subtracting the numerators: \[\frac{3(x - 4)}{12} - \frac{2(x - 3)}{12} = \frac{3x - 12 - 2x + 6}{12}\] Simplifying the numerator, we get: \[\frac{3x - 2x - 12 + 6}{12} = \frac{x - 6}{12}\] Therefore, the simplified expression is $\frac{x - 6}{12}$. So, the answer is option (B).






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WAEC SSCE - General Mathematics - 2006 (Objective)