Is 4/28 a repeating decimal?

Here we will show you how to determine if 4/28 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 4/28 (4 ÷ 28) is repeating or non-repeating.

Here are the steps to determine if 4/28 is a repeating decimal number:

1) Find the denominator of 4/28 in its lowest form.
The greatest common factor (GCF) of 4 and 28 is 4. Convert 4/28 to its simplest form by dividing the numerator and denominator by its GCF:

		4 ÷ 4
		28 ÷ 4

		1
		7

Thus, the denominator of 4/28 in its lowest form is 7.

2) Find the prime factors of the answer in Step 1.
The prime factors of 7 are all the prime numbers that you multiply together to get 7. The prime factors of 7 are:

7

3) Determine if 4/28 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 the case here, which means that our answer is as follows:

4/28
= repeating

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