Question

Alan rewrites a fraction less than 1 as a decimal. The numerator is a whole number greater than 0. For which denominator will the fraction always convert to a terminating decimal?

A, 12

B, 16

C, 13

D, 9

Answer 1

B: 16

Explanation:

Took the test (k12)

Answer 2

The fraction always converts to a terminating decimal with 16 as the denominator. The dividing operation by 2 always leads to an integer or a terminating decimal. Therefore, a fraction with 16 as the denominator always converts to a terminating decimal because 16 is an exponential number of 2 (16= 2^4).