change terminating decimals 15 divided by 25
Answers
Answer:
1) Find the denominator of 25/15 in its lowest form.
The greatest common factor (GCF) of 25 and 15 is 5. Convert 25/15 to its simplest form by dividing the numerator and denominator by its GCF:
25 ÷ 5
15 ÷ 5
=
5
3
Thus, the denominator of 25/15 in its lowest form is 3.
2) Find the prime factors of the answer in Step 1.
The prime factors of 3 are all the prime numbers that you multiply together to get 3. The prime factors of 3 are:
3
3) Determine if 25/15 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 not the case here, which means that our answer is as follows:
25/15
= non-terminating