find 5 rational numbers between 1/2 and 3/4

first find the LCM of 2 and 4 that is 4

so

1x2 / 2x2 = 2/4

3x1 / 4x1 =3/4

now multiply 2/4 and 3/4 by 10

we get 20/40 and 30/40

so 5 rational numbers are 21/40 , 23/40 , 25/40 , 27/40 , 29/40

=21/40 , 23/40 , 5/8 , 27/40 , 29/40 (simplyfied)