Question

insert four rational number between 2 appond 9 and 3 appond 6​

Answer 1

Answer:

the rational number between any two rational numbers is a+b/2

in first case a=2 b=9

1) 2+9/2 =11/2

2) 2+11/2 /2 = 4+11/4 = 15/4

3) 2+15/4 /2 = 8+15/8 = 23/8

4) 15/4+ 23/8 /2 = 30+23/8 = 53/8

in second case a= 3 b=6

1) 3+6/2 =9/2

2) 2+9/2 /2 = 4+9/4 = 13/4

3) 2+ 13/4 /2= 8+13 /8 = 21/8

4) 13/4+ 9/2 /2 = 13+18 /4 = 31/4