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   Fracking Fractions
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   Author  Topic: Fracking Fractions  (Read 3009 times)
Noke Lieu
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Fracking Fractions  
« on: May 7th, 2012, 9:00pm »
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[(A+B)/C] + [(D+E)/F] + [(G+H)/I] = J
 
Place the numbers 1-10 in A-J such that it's true.  
Is it possible?
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towr
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Re: Fracking Fractions  
« Reply #1 on: May 7th, 2012, 11:00pm »
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Are you using [] as parentheses, or do they have an extra meaning such as round/ceil/floor/fractional part ?
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Noke Lieu
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Re: Fracking Fractions  
« Reply #2 on: May 8th, 2012, 3:54am »
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Oh, just parentheses.  
I was trying to avoid confusion, but couldn't be bothered making a picture...
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pex
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Re: Fracking Fractions   fracking-fractions.txt
« Reply #3 on: May 8th, 2012, 4:17am »
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There's actually quite a long list of solutions... Were you looking for anything in particular?
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JohanC
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Re: Fracking Fractions  
« Reply #4 on: May 8th, 2012, 1:53pm »
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on May 8th, 2012, 4:17am, pex wrote:
Were you looking for anything in particular?

Maybe:
- let the 3 denominators be primes
- or: let the sum of the denominators be as large as possible
- or: make sure none of the 3 fractions evalutes to an integer
- or: ...
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Noke Lieu
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Re: Fracking Fractions  
« Reply #5 on: May 8th, 2012, 6:33pm »
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No, no- it was just a classroom activity that I came up with. Easy with computer grunt, less so without.
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