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Convert $0.\overline{481}$ to a fraction in simplest form

 Aug 14, 2020
 #1
avatar+1039 
+4

Is this the number you want: \(0.\overline{481}\)? This question is actually really simple.

 

All repeating numbers are going to have a denomintator with repeating 9s for the amount of digits there are after the decimal point. This means, that \(0.\overline 3\) is 3/9,or 1/3, and \(0.\overline {49}\) is 49/99, and so on. Therefore, 0.481 repeating is 481/999, which is simplified to 13/27.

 

:)

 Aug 14, 2020
 #2
avatar+1039 
+4

Sorry, my LaTeX did not render properly....again.....

ilorty  Aug 14, 2020
 #3
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0

oh ok thx a lot ur the best

 Aug 14, 2020

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