Find five rational numbers between: (i) 2/3 and 4/5 (ii) 3/2 and 5/3 (iii) 1/4 and 1/2

(i) We can represent 2/3 as 30/45 and 4/5 as 36/45 respectively. Therefore; 5 rational numbers between 2/3 and 4/5 are 31/45, 32/45, 33/45, 34/45, 35/45
(ii) We can represent 3/2 as 9/6 and 5/3 as 10/6. Therefore, 5 rational numbers between 3/2 and 5/3 are 9.2/6, 9.4/6, 9.6/6, 9.8/6, 10/6
(iii) We can represent 1/4 as 8/32 and 1/2 as 16/32 respectively. Therefore, 5 rational numbers are 9/32, 10/32, 11/32, 12/32, 13/32