Question

If the denominator of a fraction has only factors of $2$ and factors of $5$, the decimal expression .............

• A. has equal numerator and denominator
• B. becomes a whole number
• C. does not terminate
• D. terminates

Answer 1

The correct option is D terminates

When the prime factorization of the denominator of a fraction has only factors of $2$ and factors of $5$, we can always express the decimal as terminating decimal. Reason is we can always multiply the denominator with required factors and make it to the power of $10$ which will always result in a terminating decimal.
For example, $\frac{1}{25}=\frac{4}{25\times 4}=\frac{4}{100}=0.04$
Therefore, $D$ is the correct answer.