Question

`2/3` is a rational number or real number?

Answer 1

The smallest set to which `2/3` belongs is fraction. In other words, one can say it is a fraction. One can also say that it is a rational number or a real number, but these sets are much bigger set of numbers and it is better to consider `2/3` as a fraction.

Answer 2

It is a rational and a real number. See explanation.

Explanation:

`2/3` is a rational number (i.e. a number which can be expressed as a fraction). Since any rational number is a real number `2/3` can be treated as both real and rational.

So to sum it all up the number can be treated as both a rational number and a real number.