September 6th, 2009, 06:04 AM  #1 
Newbie Joined: Sep 2009 Posts: 3 Thanks: 0  Simple question
Sorry if this is in the wrong section, the big lists of topics covered per section overwhelmed me... I'm just starting grade 10 math and have a fairly simple question for you guys: Express 0.3828282... as a fraction. Here's how I did it: x = 0.3828282... x = 0.828282... + 0.3 1000x = 82.828282... + 300 999x = 82 + 299.7 x = 82/999 + 299.7/999 x = 381.7/999 Sorry for the sloppy work, and the lack of proper symbols. The only problem with this is that 381.7/999 = 0.3820820... and not 0.38282... Does anyone know what I'm doing wrong? Any help would be appreciated, thanks. The only problem with this is that 82/999 + 299.7/999 
September 6th, 2009, 10:40 AM  #2 
Member Joined: Jul 2009 Posts: 34 Thanks: 0  Re: Simple question
First of all, you want to express 0.03828282... as fraction and you set x to 0.3828282... That's your first wrong. I'll show you how I would do it: x=0.03828282... 100x=3.828282...=3+0.828282... 10000x=300+82.828282... 9900x=297+82=379 x=379/9900 
September 6th, 2009, 05:15 PM  #3 
Newbie Joined: Sep 2009 Posts: 3 Thanks: 0  Re: Simple question
Darn, that was a typo, 0.38282... not 0.038282... . Sorry about that. I think I can use that technique though, thanks. 

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