Is 31/31 a repeating decimal?

Here we will show you how to determine if 31/31 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 31/31 (31 ÷ 31) is repeating or non-repeating.

Here are the steps to determine if 31/31 is a repeating decimal number:

1) Find the denominator of 31/31 in its lowest form.
The greatest common factor (GCF) of 31 and 31 is 31. Convert 31/31 to its simplest form by dividing the numerator and denominator by its GCF:

		31 ÷ 31
		31 ÷ 31

		1
		1

Thus, the denominator of 31/31 in its lowest form is 1.

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

none

3) Determine if 31/31 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:

31/31
= non-repeating

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