The history of rational numbers goes way back to the beginning of historical times. It is believed that knowledge of rational number precedes history but no evidence of this survives today. The earliest evidence is in the Ancient Egyptian document the Kahun Papyrus. Ancient Greeks also worked on rational numbers as a part of their number theory. Euclid's elements dates to around 300 BC. Indian mathematicians also worked on rational numbers. This is documented in different texts but the most important is probably the Sthananga Sutra which dates back to around the second century BC.
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Most probably way back in pre-history.
All rational numbers are real numbers.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
All prime numbers are rational.