Is 8/5 a terminating decimal?

Here we will show you how to determine if 8/5 is a terminating decimal or a non-terminating decimal.

A terminating decimal is a decimal number that has a finite number of decimals and does not go on indefinitely. We want to know if the decimal number you get when you divide the fraction 8/5 (8 ÷ 5) is terminating or non-terminating.

Here are the steps to determine if 8/5 is a terminating decimal number:

1) Find the denominator of 8/5 in its lowest form.
The greatest common factor (GCF) of 8 and 5 is 1. Convert 8/5 to its simplest form by dividing the numerator and denominator by its GCF:

		8 ÷ 1
		5 ÷ 1

		8
		5

Thus, the denominator of 8/5 in its lowest form is 5.

2) Find the prime factors of the answer in Step 1.
The prime factors of 5 are all the prime numbers that you multiply together to get 5. The prime factors of 5 are:

5

3) Determine if 8/5 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:

8/5
= terminating

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