Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.

The set of numbers that are real numbers but cannot be expressed as one integer divided by another is called the set of irrational numbers. Irrational numbers are numbers that cannot be written as a fraction and have decimal representations that neither terminate nor repeat. Examples of irrational numbers include π (pi), √2 (square root of 2), and e (Euler's number).

The set of numbers that are real numbers but cannot be expressed as one integer divided by another is called the set of irrational numbers. Irrational numbers are numbers that cannot be written as a fraction or ratio of two integers. They cannot be expressed as a quotient of two integers because their decimal expansions are non-terminating and non-repeating. Examples of irrational numbers include the square root of 2 (√2), pi (π), and Euler's number (e). The set of irrational numbers together with the set of rational numbers forms the set of real numbers.