find six rational numbers between 3 and 4.....

Dear Student,
We have to find rational numbers between 3 and 4 as follows

As we have to find six rational numbers betwwn 3 and 4 so we multiply the number with 7 in numerator and denominator-

$$\begin{gathered} 3 = 3\times \frac{7}{7}= \frac{21}{7} \\ 4= 4\times \frac{7}{7}=\frac{28}{7} \end{gathered}$$
So now we get rational numbers between


$\frac{22}{7}, \frac{23}{7}, \frac{24}{7}, \frac{25}{7},\frac{26}{7},\frac{27}{7}$

So these are rational numbers.
Hope it helps.
Regards