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how do i convert 3.812 into a fraction where 1 and 2 are recurring

 Oct 13, 2016
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x = 3.812.....

10x= 38.1212....

1000x = 3812.121212.....

 

1000x - 10x   =  990x  =  3812.1212  -   38.1212  =   3774

 

so

 

990x = 3774

x = 3774/990 =  3   804/990   =  3   134/165

 Oct 13, 2016

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