Plz explain:

Q. Which of the following the rational number has a terminating decimal expansion ?

$$\begin{gathered} \left(A\right) \frac{17}{160} \\ \left(B\right) \frac{17}{165} \\ \left(C\right) \frac{17}{175} \\ \left(D\right) \frac{17}{180} \end{gathered}$$
 

 

(A) part is correct.

See if in any number if prime factors of denomominator are either multiple of only 2 or multiple of only 5 or multiple of both 2 and 5 only have terminating decimal representation. Here in ur question in (a) 160 = 2*2*2*2*2*5 hence it has terminating decimal representation. Cheers !

How

aryan u see my explanation if u camt understand ask me again