## KingGeorge Group Title [SOLVED] For those bored, here's a cute little number theory related problem. Prove that the fraction ${21n+4 \over 14n+3}$is irreducible for all positive integers $$n$$. PS: It's a two line proof. 2 years ago 2 years ago

1. lgbasallote Group Title

potato?

2. KingGeorge Group Title

A hint is below in white LaTeX font. $\color{white}{\text{prove that the numerator and the denominator are coprime}}$

3. eliassaab Group Title

$3 (14 n+3)-2 (21 n+4)=1$ Applu Bezout and see if you can finish it.