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Q&A #7093

Teachers' Lounge Discussion: Converting repeating decimals to fractions

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From: Loyd <loydlin@aol.com>
To: Teacher2Teacher Public Discussion
Date: 2002090421:15:12
Subject: Re: Converting repeating decimals to fractions

On 2002090420:55:30, Carly wrote:
>	
>How do you conver 1.36363636363636... to a fraction?
>

Let x =1.36363636363636... 
100x = 136.363636363636... 
Subtract x form 100 x
Be sure to line up decimals.  

100x = 136.363636363636... 
   x =   1.36363636363636... 
------------------------------------------------
 99x = 135   (divide both sides by 99)
   x = 135/99 = 1 4/11

You can use a calculator to verify that 4/11 = .36363636363636...

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