Finding rational number between two rational numbers

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Let us take an example on how to do this

Find five rational numbers between 1 and 2.

As we have to find 5 rational numbers, we multiply the numbers by 6/6

1 = 1 × 6/6 = 6/6

2 = 2 × 6/6 = 12/6     

Thus, 5 Rational numbers between 1 & 2 (i.e. 6/6 & 12/6 ) are

 7/6, 8/6, 9/6, 10/6, 11/6 

Note:

Note that 5/4, 11/8, 13/8, 14/8,……… are also rational numbers between 1 and 2

So, there can be infinitely many rational numbers between any two rational numbers .