BECE Mathematics 2011 Paper

Concept:A decimal can be converted to a fraction by using its place value, then reduced by dividing by common factors.Explanation:Write the decimal as a fraction over $1$.$0.125 = \frac{0.125}{1}$There are $3$ digits after the decimal point, so multiply the numerator and denominator by $1000$.$\frac{0.125 \times 1000}{1 \times 1000} = \frac{125}{1000}$Now reduce $\frac{125}{1000}$ to its lowest form.$125$ divides both $125$ and $1000$ exactly.$\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}$Since $1$ and $8$ have no common factor other than $1$, this is the lowest form.Answer:$0.125 = \frac{1}{8}$So, the correct option is A. $\frac{1}{8}$.