Find six rational numbers between 3 and 4.

Since, we want six numbers, we write 1 and 2 as rational numbers with denominator 6 + 1 = 7

So, multiply in numerator and denominator by 7, we get

We know that, 21 < 22 < 23 < 24 < 25 < 26 < 27 < 28

Hence, six rational numbers between are