Find five rational numbers between 3 and 4.

Rational number is any number that can express in the form of p/q of two integers, where 'q' cannot be zero.
i) First rational number between 3 and 4 can be calculated by finding the average between them, which is (3+4)/2 = 7/2. Now, we have three numbers i.e. 3, 7/2 and 4, so other remaining rational numbers can be calculated by taking the average between 3 and 7/2, and between 7/2 and 4.
ii) Second rational number between 3 and 7/2 can be calculated by finding the average between them. (7/2 + 3)/2 = (7+6)/4 = 13/4
iii) The third rational number between 4 and 7/2 can be calculated by finding the average between them. (7/2 + 4)/2 = (7+8)/4 = 15/4
iv) Similarly fourth rational number between 3 and 13/4 can be calculated by finding the average between them. (13/4 + 3)/2 = (13+12)/8 = 25/8
v) Similarly, fifth rational number between 4 and 13/4 can be calculated by finding the average between them. (13/4 + 4)/2 = (13+16)/8 = 29/8
Then the rational numbers between 3 and 4 are 7/2, 13/4, 15/4, 25/8, 29/8