Is 2 over 3 a rational or irrational number?

Answer 1

irrational

2/3 = .66666666 and so on

Answer 2

It is a rational number. A rational number is any number that can be written as p/q, where p and q are integers (and q is not equal to zero). Obviously 2 over 3 can be written as 2/3. Furthermore 2 and 3 are both integers. An irrational number is any number that cannot be written as a fraction as described earlier. This means that it has a infinite decimal expansion, with no repeating sequence. But if you would try to calculate 2 over 3, you'd just get 0.66666... where the 6 repeats infinitely many times. As I mentioned an irrational number cannot have a repeating sequence, so 0.66666... cannot be an irrational number, because the 6 repeats.