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 July 28th, 2019, 08:20 PM #1 Newbie   Joined: Jan 2019 From: bangladesh Posts: 3 Thanks: 0 why do we represent rational number by p/q? why do we represent rational number by p/q, why can't you not use m/n, x/y, c/y, a/c, etc. is there any meaning by (p/q)? July 28th, 2019, 08:54 PM   #2
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 Originally Posted by aamenis why do we represent rational number by p/q, why can't you not use m/n, x/y, c/y, a/c, etc. is there any meaning by (p/q)?
As long as the numerator and denominator are integers (the denominator can't be 0) then it's a fraction. So you could also say that $\displaystyle \dfrac{ \Im }{ \mho }$ is a rational number so long as $\displaystyle \Im$ is an integer and $\displaystyle \mho$ is a non-zero integer. The symbols don't matter.

-Dan July 29th, 2019, 05:31 AM   #3
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Quote:
 Originally Posted by aamenis why do we represent rational number by p/q, why can't you not use m/n, x/y, c/y, a/c, etc. is there any meaning by (p/q)?
Because $\frac{p}{q}=r \in \mathbb Q$, where $r$ then stands for rational?
It's just a convention, no different to using $x$ and $y$ as variables in the plane or $x$ and $t$ in one-dimensional motion. Tags number, p or q, rational, represent Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post v8archie Real Analysis 3 December 19th, 2015 12:24 AM Roli Algebra 14 June 10th, 2014 01:40 AM tva_vlad Algebra 1 October 7th, 2013 01:38 AM goodfeeling Algebra 17 October 26th, 2012 12:40 PM luketapis Algebra 8 June 22nd, 2012 12:18 AM

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