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        riddles >> easy >> Fracking Fractions 
        
(Message started by: Noke Lieu on May 7^th, 2012, 9:00pm)

Title: Fracking Fractions
Post by Noke Lieu on May 7^th, 2012, 9:00pm

[(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?

Title: Re: Fracking Fractions
Post by towr on May 7^th, 2012, 11:00pm

Are you using [] as parentheses, or do they have an extra meaning such as round/ceil/floor/fractional part ?

Title: Re: Fracking Fractions
Post by Noke Lieu on May 8^th, 2012, 3:54am

Oh, just parentheses.
I was trying to avoid confusion, but couldn't be bothered making a picture...

Title: Re: Fracking Fractions
Post by pex on May 8^th, 2012, 4:17am

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

Title: Re: Fracking Fractions
Post by JohanC on May 8^th, 2012, 1:53pm

on 05/08/12 at 04:17:57, 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: ...

Title: Re: Fracking Fractions
Post by Noke Lieu on May 8^th, 2012, 6:33pm

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