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September 6th, 2009, 06:04 AM   #1
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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
Ackmey is offline  
 
September 6th, 2009, 10:40 AM   #2
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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
Jeranimo is offline  
September 6th, 2009, 05:15 PM   #3
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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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