Question

insert 5 rational numbers between -4/5 to get -5/8??

Answer 1

5 rational no. b/w -4/5 and-5/8
are
$\frac{ - 4}{5} \times \frac{8}{8} = \frac{ - 32}{40}$
and
$\frac{ - 5}{8} \times \frac{5}{5} = \frac{ - 25}{40}$
so 5 rational no. b/w these two are
-26/40,-27/40,-28/40,-29/40,-30/40...