Find five rational numbers between 3/5 and 4/5.

Rational number is any number that can express in the form of p/q of two integers, where 'q' cannot be zero, so
(i) The rational number between 3/5 and 4/5 is average of 3/5 and 4/5: 1/2(3/5 + 4/5) = 1/2(3+4)/5 = 7/10
(ii) The second rational number between 3/5 and 4/5 can be calculated by calculating the average of 3/5 and 7/10: 1/2(3/5 + 7/10) = 1/2(6+7)/10 = 13/20
(iii) The third rational number between 3/5 and 4/5 can be calculated by calculating the average of 7/10 and 4/5: 1/2(7/10 + 4/5) = 1/2(7+8)/10 = 15/20
(iv) The fourth rational number between 3/5 and 4/5 can be calculated by calculating the average of 3/5 and 13/20: 1/2(3/5 + 13/20) = 1/2(12+13)/20 = 25/40
(v) The fifth rational number between 3/5 and 4/5 can be calculated by calculating the average of 13/20 and 4/5: 1/2(13/20 + 4/5) = 1/2(13+16)/20 = 29/40
Then five rational numbers are 7/10, 13/20, 15/20, 25/40 and 29/40