rango wrote:

Which of the following fractions will terminate when expressed as a decimal?

(A) 1/259

(B) 27/101

(C) 100/27

(D) 231/660

(E) 1/11

A fraction will convert to a terminating decimal when the denominator of the simplified fraction contains only 5’s, only 2’s, or both 5’s and 2’s.

Since 231/660 = 77/220 = 7/20, and the denominator 20 = 2^2 x 5, we see that 231/660 will terminate.

Answer: D

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