BECE Mathematics 2022 Paper

Concept:Dividing fractions means multiplying by the reciprocal of the divisor.Explanation:First, convert each mixed fraction to an improper fraction.$1\;\frac{1}{5} = \frac{6}{5}$$2\;\frac{1}{10} = \frac{21}{10}$So the expression becomes $\frac{6}{5} \div \frac{21}{10}$.Apply the division rule: multiply by the reciprocal of the right fraction.$\frac{6}{5} \div \frac{21}{10} = \frac{6}{5} \times \frac{10}{21}$Cancel common factors before multiplying.$6$ and $21$ are both divisible by $3$, giving $2$ and $7$.$5$ and $10$ are both divisible by $5$, giving $1$ and $2$.Then multiply: $\frac{2}{1} \times \frac{2}{7} = \frac{4}{7}$.Answer:$\frac{4}{7}$Option D is correct.