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Repeating Decimals and GMAT common repeating decimals [#permalink]
10 Jul 2010, 11:19
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