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Rational numbers between any 2 numbers can easily be find out by taking their means.
i.e., For
and
Their mean is
. Hence 1 rational number between
and
is
.
Now we will find mean between
and
.
This implies new required rational number is
.
Similarly, we will find mean between
and 
New required rational number is
Similarly, we will take means of new numbers generated between
and
.