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Noke Lieu
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 Fracking Fractions   « on: May 7th, 2012, 9:00pm » Quote Modify

[(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 » Quote Modify

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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pen... paper... let's go! (and bit of plastic)

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 Re: Fracking Fractions   « Reply #2 on: May 8th, 2012, 3:54am » Quote Modify

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 » Quote Modify

There's actually quite a long list of solutions... Were you looking for anything in particular?
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JohanC
Senior Riddler

Posts: 460
 Re: Fracking Fractions   « Reply #4 on: May 8th, 2012, 1:53pm » Quote Modify

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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pen... paper... let's go! (and bit of plastic)

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 Re: Fracking Fractions   « Reply #5 on: May 8th, 2012, 6:33pm » Quote Modify

No, no- it was just a classroom activity that I came up with. Easy with computer grunt, less so without.
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