Is 68/17 a repeating decimal?

Here we will show you how to determine if 68/17 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 68/17 (68 ÷ 17) is repeating or non-repeating.

Here are the steps to determine if 68/17 is a repeating decimal number:

1) Find the denominator of 68/17 in its lowest form.
The greatest common factor (GCF) of 68 and 17 is 17. Convert 68/17 to its simplest form by dividing the numerator and denominator by its GCF:

		68 ÷ 17
		17 ÷ 17

		4
		1

Thus, the denominator of 68/17 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 68/17 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:

68/17
= non-repeating

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