Find six rational numbers between 3 and 4

To find rational numbers between 3 and 4 we have to write them with the same denominator: $$3 = \frac{30}{10}, \quad 4 = \frac{40}{10}$$

Now, numbers between them are:$$\frac{31}{10}, \frac{32}{10}, \frac{33}{10}, \frac{34}{10}, \frac{35}{10}, \frac{36}{10}$$

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Final Answer:

Six rational numbers between 3 and 4 are:$$\frac{31}{10}, \frac{32}{10}, \frac{33}{10}, \frac{34}{10}, \frac{35}{10}, \frac{36}{10}$$

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Conclusion

There are infinitely many rational numbers between any two rational numbers.