Question

Is a fraction a real number, rational number, irrational number ?

Answer 1

A fraction of two integers is a rational number. It is also a real number.

Explanation:

Integers are the numbers: `0, 1, -1, 2, -2, 3, -3,...`

Rational numbers are any number that can be expressed as `p/q` where `p` and `q` are integers and `q != 0`. So `5`, `12.42`, `-17/3` and `0` are rational numbers.

There are infinitely many rational numbers, but they do not form a continuous line. The continuous line of numbers is called the real number line. It includes all the previous numbers we have mentioned, but also numbers like `sqrt(2)`, `pi` and `e`, which are not rational.

Irrational numbers are any real numbers that are not rational.