BECE Mathematics 2016 Paper

Concept:Substitute the given integer values into the algebraic fraction and simplify using basic arithmetic.Explanation:The expression to evaluate is $\frac{3a+2b}{ab}$.Given $a=-4$ and $b=3$, replace each variable with its value.First, simplify the numerator:$3a+2b = 3(-4)+2(3) = -12+6 = -6$.Next, simplify the denominator:$ab = (-4)(3) = -12$.Now form the fraction:$\frac{3a+2b}{ab} = \frac{-6}{-12}$.Since both the numerator and denominator are negative, the fraction is positive.Thus, $\frac{-6}{-12} = \frac{6}{12} = \frac{1}{2}$.This value matches option C.Answer:$\frac{1}{2}$ (option C)