Is 27/54 a repeating decimal?

Here we will show you how to determine if 27/54 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 27/54 (27 ÷ 54) is repeating or non-repeating.

Here are the steps to determine if 27/54 is a repeating decimal number:

1) Find the denominator of 27/54 in its lowest form.
The greatest common factor (GCF) of 27 and 54 is 27. Convert 27/54 to its simplest form by dividing the numerator and denominator by its GCF:

		27 ÷ 27
		54 ÷ 27

		1
		2

Thus, the denominator of 27/54 in its lowest form is 2.

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

2

3) Determine if 27/54 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:

27/54
= non-repeating

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