Correct option is (D) None of these
(A) \(\frac{31}{3125}\); 3125 \(=5\times5\times5\times5\times5=5^5\)
The prime factor of denominator of given ration number (3125) is 5 only.
\(\therefore\) \(\frac{31}{3125}\) has terminating decimals.
(B) \(\frac{71}{512}\); 512 \(=2\times2\times2\times2\times2\times2\times2\times2\times2=2^9\)
\(\because\) The prime factor of 512 is 2 only.
\(\therefore\) \(\frac{71}{512}\) has terminating decimals.
(C) \(\frac{23}{200}\); 200 \(=2\times2\times2\times5\times5=2^3\times5^2\)
\(\because\) The prime factor of 200 are 2 and 5 only.
\(\therefore\) \(\frac{23}{200}\) has terminating decimals.