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Repeating Decimals and GMAT common repeating decimals

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Senior Manager
Senior Manager
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Joined: 11 May 2010
Posts: 288
Location: United Kingdom
Concentration: Entrepreneurship, Technology
GMAT Date: 10-22-2011
GPA: 3
WE: Information Technology (Internet and New Media)
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Repeating Decimals and GMAT common repeating decimals [#permalink] New post 10 Jul 2010, 10:19
Hi all,

Can we attempt to put together a list of the most common GMAT repeating decimals and their fractional equivalents that you encounter? Would be good to have this to memorize.

I 'discovered' something when looking at MGMAT's Repeating Decimal strategy... They said that some common GMAT repeating decimals are 4/9 = .44 rep., 23/99 = .23 rep. , 1/11 = .0909 rep and 3/11 = .27 rep.

I also came across a question with 6/11 as a repeating decimal = .54 rep, which I realised was just 1/11 x 6 = .09 rep x 6 = .54 rep.

MGMAT's example of 3/11 = .27 rep is also an example of this - i.e. 3/11 = 1/11 x 3 = .09 rep x 3 = .27 rep...

Is this a general pattern that always applies for repeating decimals? If so it will make it easy to learn repeating decimals e.g. 1/3, 1/7 etc. and then if you see a multiple of those fractions in the GMAT you simply multiply their decimal equivalent by the multiple given (e.g. 3/11 = 1/11 x 3)fs

Hopefully this makes sense.

Thanks
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Re: Repeating Decimals and GMAT common repeating decimals [#permalink] New post 19 Mar 2011, 21:04
The 11 and multiples of 3 denominators are the only ones that might show up. I would memorize the 3's, 6's, 9's and 12's. Possibly the 7's as well:

1/7 = 0.142857...
2/7 = 0.285714...
3/7 = 0.428571...
4/7 = 0.571428...
5/7 = 0.714285...
6/7 = 0.857142...

Those are my faves, so beautiful! Anything more obscure in terms of repeating decimals is not likely to appear on the GMAT though, so it's best not to focus on expansions of 13, 23, etc etc.
Re: Repeating Decimals and GMAT common repeating decimals   [#permalink] 19 Mar 2011, 21:04
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Repeating Decimals and GMAT common repeating decimals

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