Question

write five rational numbers between

Answer 1

(1) 2/11 and 9/11
Some rational numbers between these are:
3/11, 4/11, 5/11, 6/11, 8/11

(2) 7/5 and 5/11

Equating denominators, we get
7/5 can be written as 77/55 by multiplying by 11 both sides and
5/11 can be written as 25/55 by multiplying by 5 both sides
So, rational numbers between 77/55 and 25/55 are:
76/55, 44/55 or 4/5, 66/55 or 6/5, 33/55 or 3/5, 26/55

(3) 3/21 and 19/21
Some rational numbers between these are:
4/21, 6/21, 8/21, 13/21, 17/21

(4) 8/25 and 20/25
Some rational numbers between these are:
9/25, 13/25, 17/25, 19/25, 23/25


(5) 12/31 and 19/31
Some rational numbers between these are:
13/31, 14/31, 16/31, 17/31, 18/31