Is 94/47 a repeating decimal?




Here we will show you how to determine if 94/47 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 94/47 (94 ÷ 47) is repeating or non-repeating.


Here are the steps to determine if 94/47 is a repeating decimal number:

1) Find the denominator of 94/47 in its lowest form.
The greatest common factor (GCF) of 94 and 47 is 47. Convert 94/47 to its simplest form by dividing the numerator and denominator by its GCF:

   
94 ÷ 47
 
   
47 ÷ 47
 
  = 
   
2
 
   
1
 
   

Thus, the denominator of 94/47 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 94/47 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:

94/47
= non-repeating


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Is 94/48 a repeating decimal?
Is the next fraction on our list a repeating decimal? Go here to find out!


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