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
.