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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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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)?
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.

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