BECE Mathematics 2021 Paper

Concept:Convert a terminating decimal to a fraction using place value, then simplify to lowest terms.Explanation:The decimal $0.725$ has three digits after the decimal point.So, write it as $\frac{725}{1000}$.Now, reduce the fraction to its lowest terms.The HCF of $725$ and $1000$ is $25$.Divide both the numerator and denominator by $25$:$\frac{725 \div 25}{1000 \div 25} = \frac{29}{40}$.Since $29$ and $40$ have no common factor other than $1$, $\frac{29}{40}$ is the lowest term.Thus, $0.725 = \frac{29}{40}$.Answer:C. $\;\; \frac{29}{40}$