Question

find five rational number between 3/5 and 4/5

Answer 1

3+4/5+4=7/9
7+4/9+5=11/14
11+4/14+5=15/19
15+4/19+5=19/24
19+4/24+5=23/29






hope it will help you

Answer 2

$\frac{3}{5} < \frac{4}{5}$

As we have to find 5 numbers, multiply by 6 on both numerator and denominator,

$\frac{3*6}{5*6} < \frac{4*6}{5*6}\\ \\ \frac{18}{30} < \frac{24}{30} \\ \\ \frac{18}{30} <\frac{19}{30} <\frac{20}{30} <\frac{21}{30}< \frac{22}{30} <\frac{23}{30}< \frac{24}{30}$

Required rational numbers are

 19 / 30 , 20 / 30 , 21 / 30 , 22 / 30 , 23 / 30