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Teachers' Lounge Discussion: Converting repeating decimals to fractions

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From: Loyd

To: Teacher2Teacher Public Discussion
Date: 2003110222:20:41
Subject: Re: Converting Repeating Decimals


Let x=.58333 repeating
100x = 58.33 repeating
subtract and get:

99x=57.75g

Multiply by 100 to get rid of decimals:

9900x=5775
x= 5775/9900

after dividing numerator and denonanator by 75 one finds that the
fraction = 77/132

So, the original answer is 1 77/132

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