Here we will show you how to determine if 2/1 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 2/1 (2 ÷ 1) is repeating or non-repeating.
Here are the steps to determine if 2/1 is a repeating decimal number:
1) Find the denominator of 2/1 in its lowest form.
The greatest common factor (GCF) of 2 and 1 is 1. Convert 2/1 to its simplest form by dividing the numerator and denominator by its GCF:
| = |
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Thus, the denominator of 2/1 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 2/1 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:
2/1
= non-repeating
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