Question

Show that for each natural number n, the fraction $\frac{14n+3}{21n+4}$ is in its lowest form.

Answer 1

the given fraction can not be broken down in a simpler form because 14n+3 and 21n+4 has no common factor.
thus for any real value of n we can not break it down in a lower form
thus we can conclude that the given fraction is in lowest form