Question

What type of decimals are simplest rational numbers whose denominators have no
prime divisors other than 2 and 5?
​

Answer 1

Answer:

When the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, we can always express the decimal as terminating decimal.

For examples

25

1

=

5×5

1

repeats (just powers of 5, the decimal terminates.)

Therefore, D is the correct answer.