Sure! Here are some examples of rational approximations for irrational numbers:

Ï€ (pi): A common rational approximation for pi is 22/7, which is equal to approximately 3.142857. Another commonly used approximation is 355/113, which is equal to approximately 3.141593.

âˆš2 (square root of 2): A rational approximation for the square root of 2 is 3/2, which is equal to 1.5. Another approximation is 7/5, which is equal to 1.4.

âˆš3 (square root of 3): A rational approximation for the square root of 3 is 265/153, which is equal to approximately 1.732026. Another approximation is 19/11, which is equal to approximately 1.727273.

e (Eulerâ€™s number): A rational approximation for Eulerâ€™s number is 87/32, which is equal to approximately 2.71875. Another approximation is 193/71, which is equal to approximately 2.71831.
These are just a few examples, and there are many more rational approximations for irrational numbers depending on the level of precision required.