Is 70/85 a repeating decimal?

Here we will show you how to determine if 70/85 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 70/85 (70 ÷ 85) is repeating or non-repeating.

Here are the steps to determine if 70/85 is a repeating decimal number:

1) Find the denominator of 70/85 in its lowest form.
The greatest common factor (GCF) of 70 and 85 is 5. Convert 70/85 to its simplest form by dividing the numerator and denominator by its GCF:

		70 ÷ 5
		85 ÷ 5

		14
		17

Thus, the denominator of 70/85 in its lowest form is 17.

2) Find the prime factors of the answer in Step 1.
The prime factors of 17 are all the prime numbers that you multiply together to get 17. The prime factors of 17 are:

17

3) Determine if 70/85 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:

70/85
= repeating

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