It seems that there was a mistake in your question. You mentioned looking for a rational number between 5 and 5, but there are no numbers between two equal values (5 and 5).
If you meant to ask for rational numbers near 5 rather than between 5 and 5, some options could include values like 5.1, 4.9, or even fractions such as \( \frac{51}{10} \) or \( \frac{49}{10} \).
If you clarify the question or provide specific options, I would be glad to help you determine which options are rational numbers near 5.