Question

find 5 rational numbers between 2/3 and 4/5

Answer 1

2/3 and 4/5

taking LCM of its denominator i.e., 15

therefore,
(2*5)/(3*5) and (4*3)/(5*3)

which is 10/15 and 12/15

but we don't get 5 numbers
so multiply both denominator and numerator by 3 ,

then we will get ,
30/45 and 36/45

therefore, 5 rational numbers between 2/3 and 4/5 are
31/45 ,32/45 , 33/45=11/15",34/45 and 35/45=7/9

hope it helps................