BECE Mathematics 2025 Paper

Concept:Write the decimal as a fraction over a power of 10, then divide top and bottom by their HCF to get the lowest form.Solution:$0.24$ has two decimal places, so it is $\dfrac{24}{100}$.Factors: $24 = 2^3 \times 3$ and $100 = 2^2 \times 5^2$, so HCF $= 2^2 = 4$.Divide top and bottom by 4: $\dfrac{24 \div 4}{100 \div 4} = \dfrac{6}{25}$$6$ and $25$ have no common factor, so $\dfrac{6}{25}$ is the lowest form.The denominator is $b = 25$.Key point: $\dfrac{12}{50}$ is not yet in lowest terms; keep dividing until no common factor remains.Answer:Option C ($25$)