Question

insert three rational Number between 4 and 5

Answer 1

its simple just add the number whuch is less than one and greater than 0 with the 4
4+1/2 = 9/2
4+1/3 = 13/3
4+1/4 = 17/4

use the tricks to solve the answers

Answer 2

Q- 3 rational numbers between 4 & 6

Method I
If a & b be two rational number such that a<b, then (a+b)/2 is a rational number between a & b
Step 1.= 4+5/2 = 7/2
Step 2. 1st rational no. =7/2+5/2 = 7+10/2/2 = 17/4
Step 3. 2nd rational no. = 17/4+4/2 = 16+17/4/2 = 33/8
Step 4. 3rd rational no. = 17/4+5/2 = 17+20/4/2 = 37/8

Method II
add the number which is less than one and greater than 0 with the number 4
4+1/2 = 9/2
4+1/3 = 13/3
4+1/4 = 17/4


As we know that there are infinite rational numbers between any two numbers, both the methods of solution is correct. Even there are more methods which will give some different answer, but remember they also have chances to be correct.

Hope it helped you....