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2. Find six rational numbers between 3 and 4.

Answer :

There can be infinitely many rational numbers between 3 and 4, one way to take them is 3=21/(6+1) , 4=28/(6+1).
The rational numbers between 3 and 4 therefore, will become 22/7 ,23/7 ,24/7 ,25/7 ,26/7 ,27/7.
Or Another way is i.e. (21/7 + 28/7)/2 i.e. (49/7)/2 i.e. 7/2. As, 21/7 < 7/2 < 28/7.
Rational no. between 21/7 and 7/2 will become (21/7 + 7/2)/2 i.e. (91/14)/2 i.e. 91/28.
As, 21/7 < 91/28 < 7/2 < 28/7.
Similarly, the other group of rational numbers between 3 and 4 will become 175/56 , 91/28 , 7/2 , 203/56, 105/28 , 217/56 .