Question

Which of the following is a terminating decimal 9/12​

Answer 1

Answer:

1) Find the denominator of 9/12 in its lowest form.

The greatest common factor (GCF) of 9 and 12 is 3. Convert 9/12 to its simplest form by dividing the numerator and denominator by its GCF:

9 ÷ 3

12 ÷ 3

=

3

4

Thus, the denominator of 9/12 in its lowest form is 4.

2) Find the prime factors of the answer in Step 1.

The prime factors of 4 are all the prime numbers that you multiply together to get 4. The prime factors of 4 are:

2 x 2

3) Determine if 9/12 is terminating

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:

9/12

= terminating