Find six rational numbers between 3 and 4.

We need to find 6 rational numbers between 3 and 4.

Consider,

$3=\frac{3}{1}$

$\Rightarrow 3=\frac{3}{1} \times \frac{7}{7}$

$\Rightarrow 3=\frac{21}{7}$

And

$4=\frac{4}{1}$

$\Rightarrow 4=\frac{4}{1} \times \frac{7}{7}$

$\Rightarrow 4=\frac{28}{7}$