method 1
Rational numbers are those no.s which can be expressed as a ratio or a fraction.
so, the 16 rational no.s between 2.1 & 2.2 are -
2.11, 2.12, 2.13, 2.14, 2.15, 2.16, 2.17 ,2.18 ,
2.112, 2.113, 2.114, 2.115, 2.116,
2.117, 2.118, 2.119
similarly many rational no.s can be obtained
method 2
(2.1+2.2)/2=2.15
(2.15+2.1)/2=2.125
(2.15+2.2)/2=2.175
similarly finding mid value of the new numbers which are found by existing numbers we get infinite rational numbers between 2.1 and 2.2.
method 3
2.1 means 2.100....
2.2 means 2.200........
so u should take no.s between 2.100..and 2.200
2.111, 2.12, 2.14, 2.15 ,2.157 ,2.146, 2.152, 2.134, 2.125,2.134, 2.135 ,2.159, 2.164, 2.176, 2.137,2.156 ,2.101