Is 2/16 a repeating decimal?

Here we will show you how to determine if 2/16 is a repeating decimal or a non-repeating decimal.

A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 2/16 (2 ÷ 16) is repeating or non-repeating.

Here are the steps to determine if 2/16 is a repeating decimal number:

1) Find the denominator of 2/16 in its lowest form.
The greatest common factor (GCF) of 2 and 16 is 2. Convert 2/16 to its simplest form by dividing the numerator and denominator by its GCF:

		2 ÷ 2
		16 ÷ 2

		1
		8

Thus, the denominator of 2/16 in its lowest form is 8.

2) Find the prime factors of the answer in Step 1.
The prime factors of 8 are all the prime numbers that you multiply together to get 8. The prime factors of 8 are:

2 x 2 x 2

3) Determine if 2/16 is repeating
A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is not the case here, which means that our answer is as follows:

2/16
= non-repeating

Repeating Decimal Calculator
Enter another fraction to determine if it is a repeating decimal.

Is 2/17 a repeating decimal?
Is the next fraction on our list a repeating decimal? Go here to find out!