Question

find the rational number between 1 and 2

Answer 1

The rational number between a and b is (a + b)/2
Hence rational number between 1 and 2 is (1+2)/2 = 3/2
Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4
Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8
Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4
Rational number between 7/4 and 2 is [(7/4) + 2]/2 = 15/8
Therefore five rational numbers between 1 and 2 are 9/8, 5/4, 3/2, 7/4 and 15/8