4.177 repeating as a fraction




4.177 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 4.177 repeating, you could mean that 7, 77, or 177 is repeating.

Thus, there are three different ways of answering "What is 4.177 repeating as a fraction?" Here are the three questions formulated in mathematical terms with the vinculum line above the decimal numbers that are repeating.

4.177 repeating as a fraction
4.177 repeating as a fraction
4.177 repeating as a fraction


The formula to convert any repeating decimal number to a fraction is as follows:

   
(DN x F) - NRP
 
   
D
 

DN = Decimal Number

F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.

NRP = Non-repeating part of decimal number.

D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.

Below shows you how to get the answer to each of the three different questions above using our formula.



4.177 repeating as a fraction

   
(4.177 x 10) - 4.17
 
   
9
 

  = 
   
37.6
 
   
9
 
  = 
   
3760
 
   
900
 
   

Below is the answer in the simplest form possible:

4.177 repeating as a fraction
= 4 8/45



4.177 repeating as a fraction

   
(4.177 x 100) - 4.1
 
   
99
 

  = 
   
413.6
 
   
99
 
  = 
   
4136
 
   
990
 
   

Below is the answer in the simplest form possible:

4.177 repeating as a fraction
= 4 8/45



4.177 repeating as a fraction

   
(4.177 x 1000) - 4
 
   
999
 

  = 
   
4173
 
   
999
 
   

Below is the answer in the simplest form possible:

4.177 repeating as a fraction
= 4 59/333




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4.178 repeating as a fraction
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