# Are all fractions rational numbers?

No.

A rational number can be expressed in the form where and are integers and . In other words, it is a fraction whose denominator is not zero, and both the denominator and numerator are integers.

Some fractions, however, may contain a numerator or denominator that is not an integer. Some examples of such fractions are

, and .

A rational number may be represented in many ways, but it can always be expressed as a fraction. For instance, is a rational number because we can express it as . Also, the number , a repeating decimal, is a rational number because we can also express it as fraction .