Is 14/7 a repeating decimal?

Here we will show you how to determine if 14/7 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 14/7 (14 ÷ 7) is repeating or non-repeating.

Here are the steps to determine if 14/7 is a repeating decimal number:

1) Find the denominator of 14/7 in its lowest form.
The greatest common factor (GCF) of 14 and 7 is 7. Convert 14/7 to its simplest form by dividing the numerator and denominator by its GCF:

		14 ÷ 7
		7 ÷ 7

		2
		1

Thus, the denominator of 14/7 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 14/7 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:

14/7
= non-repeating

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

Is 14/8 a repeating decimal?
Is the next fraction on our list a repeating decimal? Go here to find out!