Re: finding which fraction is bigger without a calculator

In article <1155425061.608481.190840@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
jennifer <scrilla_12_1999@xxxxxxxxx> wrote:
Thank you very much sir.

Please don't top-post.

Do note a mistake:

Arturo Magidin wrote:

If a, b, c, and d are all positive integers, then a/b < c/d if and
only if ad < bc. And if ad>bc, then a/b > c/d.

Here, a=11, b=45, c=12, d=50. ad=11*50 =550,
bc = 45*12 = 5*9*12 = 9*60 = 450.

9*60 = 540, not 450 (transposition typo). Luckily, it is still true
that:

Since ad is bigger than bc,

so the rest is still right.



--
======================================================================
"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes" by Bill Watterson)
======================================================================

Arturo Magidin
magidin-at-member-ams-org

.

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