WAEC Mathematics 2016 Paper

Concept:Simplify the expression by first subtracting the fractions inside the bracket, then multiplying by the mixed number.Explanation:Step 1: Convert the mixed number $1\frac{1}{5}$ into an improper fraction.$1\frac{1}{5} = \frac{5 \times 1 + 1}{5} = \frac{6}{5}$Step 2: Subtract the fractions inside the brackets.Find a common denominator for $\frac{3}{4}$ and $\frac{2}{3}$, which is $12$.$\frac{3}{4} - \frac{2}{3} = \frac{3 \times 3}{4 \times 3} - \frac{2 \times 4}{3 \times 4} = \frac{9}{12} - \frac{8}{12} = \frac{1}{12}$Step 3: Multiply the result by $\frac{6}{5}$.$\frac{1}{12} \times \frac{6}{5} = \frac{1 \times 6}{12 \times 5} = \frac{6}{60}$Step 4: Simplify $\frac{6}{60}$ by dividing the numerator and denominator by their greatest common factor, $6$.$\frac{6}{60} = \frac{6 \div 6}{60 \div 6} = \frac{1}{10}$Answer:$\frac{1}{10}$, which corresponds to option C.