Weird FractionDate: 06/11/2003 at 02:00:55 From: Charlotte Subject: Weird fraction 9 x 11 + 18 x 22 + 27 x 33 + 36 x 44 --------------------------------------- = ? 22 x 27 + 44 x 54 + 66 x 81 + 88 x 108 Could you tell me the shortest and easiest way of solving this problem? Date: 06/11/2003 at 09:32:23 From: Doctor Ian Subject: Re: Weird fraction Hi Charlotte, You can't use cancellation directly, because you have sums instead of just products. However, you can use the distributive property to factor out things that could be canceled. For example, in the numerator, 9*11 + 18*22 + 27*33 + 36*44 each term is divisible by 9, 9(1*11 + 2*22 + 3*33 + 4*44) and each term is divisible by 11, 9*11(1*1 + 2*2 + 3*3 + 4*4) Try doing something like this to the denominator, and see what happens. I hope this helps. Write back if you'd like to talk more about this, or anything else. - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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