To properly address this question, it seems like the actual set of real numbers isn't provided in your prompt. Rational numbers are numbers that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers, and $q \neq 0$.

To help you better, could you please provide the set of real numbers in question? Once the set is given, I can identify and list all the rational numbers within it.

---

If you have the set ready or have any other questions, please let me know! Here are some questions to consider:

1. What are examples of rational numbers in various forms?
2. How do irrational numbers differ from rational numbers?
3. Can repeating decimals be considered rational numbers?
4. How can you determine if a given number is rational or irrational?
5. Why are integers always considered rational numbers?

Tip: Rational numbers are dense in the set of real numbers, meaning between any two real numbers, there's always a rational number!