Find six rational numbers between 3 and 4

Explanation

Let n =6
We convert 3 and 4 into equivalent rational numbers using (n+1) = 7 as multiplying factor. Thus, `3 = (3)/(1) = (3)/(1) = (3xx7)/(1xx7) = (21)/(7)` and `4= (4)/(1) = (4xx7)/(1xx7) = (28)/(7)`.
Now, `(21)/(7) lt (22)/(7) lt (23)/(7) lt (25)/(7) lt (26)/(7) lt (27)/(7) lt (28)/(7)`
or `3lt (22)/(7) lt (23)/(7) lt (24)/(7) lt (25)/(7) lt (26)/(7) lt (27)/(7) lt 4`.
Hence, six rational numbre between 3 and 4 are `(22)/(7),(23)/(7),(24)/(7),(25)/(7),(26)/(7)` and `(27)/(7)`