2. Find six rational numbers between 3 and 4.

Here may be infinite rational number between any two rational number. But here we have to determine only six number between 3 and 4. To get six rational number between 3 and 4 in easiest way we write 3 and 4 as follows 3 =3#66++11 = 3#77 = 217 and 4 =4# 6 + 1 = 4 # 7 = 28 6 + 1 7 7 Six rational numbers between 3 and 4 are 227 , 237 , 247, 257 , 267 , 277 There can be other set of rational numbers also. One other set is 1031, 1032, 1033, 1034, 1035, 1036 .