Re: [Phys-L] just for fun

[brian whatcott <betwys1@sbcglobal.net>]

Ahem....
On 12/19/2013 9:27 AM, Ken Caviness wrote:
> That's effectively the way I automatically saw the problem, too:
>
>      25/28 <=?=> 15/17
>
> 1 - 2/28 <=?=> 1 - 2/17
>
> Since it's obvious that
>
> 	   1   =   1
> and 	2/28 < 2/17,
>
>            --------------------
>
> It follows that
>
>          1 - 2/28 > 1 - 2/17
>
> and therefore
>
>             25/28 > 15/17
It does not follow!

> One generalization is that (n-c)/n > (m-c)/m iff c/n < c/m iff n > m.
>
> KC
>
> -----Original Message-----
> From: Phys-l [mailto:phys-l-bounces@phys-l.org] On Behalf Of Surendranath
> Sent: Thursday, 19 December, 2013 9:56 AM
> To: Phys-L@phys-l.org
> Subject: Re: [Phys-L] just for fun
>
> how about 25/28 = (28-3)/28 = 1-3/28
>
> and 15/17 = (17-2)/17 = 1-2/17
>
> and compare 3/18 and 2/17
>
>
> Best Wishes,
>
> Surendranath
>
> www.surendranath.org
> www.youtube.com/user/Surendranath1954
> https://play.google.com/store/search?q=pub:Surendranath.B.
>
>
> On Thu, Dec 19, 2013 at 7:34 PM, John Denker <jsd@av8n.com> wrote:
>
> > The question was:
> >
> > >    Which is bigger: 25/28 or 15/17?              [1]