Find six rational numbers between $3$ and $4$.

(N/A) There are infinitely many rational numbers between $3$ and $4$.
To find $n = 6$ rational numbers,we can express $3$ and $4$ as fractions with a denominator of $n + 1 = 7$.
$3 = \frac{3 \times 7}{7} = \frac{21}{7}$
$4 = \frac{4 \times 7}{7} = \frac{28}{7}$
Thus,six rational numbers between $\frac{21}{7}$ and $\frac{28}{7}$ are $\frac{22}{7}, \frac{23}{7}, \frac{24}{7}, \frac{25}{7}, \frac{26}{7}, \text{ and } \frac{27}{7}$.