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Topic: Fracking Fractions (Read 3045 times) |
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Noke Lieu
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pen... paper... let's go! (and bit of plastic)
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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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a shade of wit and the art of farce.
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towr
wu::riddles Moderator Uberpuzzler
Some people are average, some are just mean.
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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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Wikipedia, Google, Mathworld, Integer sequence DB
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Noke Lieu
Uberpuzzler
pen... paper... let's go! (and bit of plastic)
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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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a shade of wit and the art of farce.
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pex
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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
Senior Riddler
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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
Uberpuzzler
pen... paper... let's go! (and bit of plastic)
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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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a shade of wit and the art of farce.
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