Question

Which of the following rational number represents a terminating decimal expansion?

• A. $\frac{77}{210}$
• B. $\frac{13}{125}$
• C. $\frac{2}{15}$
• D. $\frac{17}{18}$

Answer 1

Answer: (B)

$\frac{13}{125}$

Any rational number its denominator is in the form of $2^m\times 5^n$, where $m,n$ are positive integer s are terminating decimals.

Solution is $B$ as $A$ is non terminating decimals.

$A=\frac{77}{210}=\mathrm{0.366......}$

$B=\frac{13}{125}=0.104$

$C=\frac{2}{15}=\mathrm{0.133.....}$

$D=\frac{17}{18}=0.\mathrm{9444....}$