(i) 2/3 and 4/5 can be re[resented as 30/45 and 36/45 respectively.

Therefore,five rational numbers between 2/3 and 4/5 are

31/45, 32/45, 33/45, 34/45, 35/45

(ii) -3/2 and can be represented as -9/6 and 10/6 respectively.

Therefore, five rational numbers between -3/2 and 5/3 are

-8/6, -7/6, -1, -5/6, -4/6

(iii) 1/4 and 1/2 can be represented as 8/32 an 16/32 respectively.

Therefore, five rational numbers between 1/4 and 1/2 are

9/32, 10/32, 11/32, 12/32, 33/32