#### Answer

$\dfrac{1}{3}$

#### Work Step by Step

Integers are:
$..., -3, -2, -1, 0, 1, 2, 3...$
Rational numbers are numbers that can be expressed as a quotient of two integers (where the denominator is not equal to zero).
Note that:
$\frac{1}{3}$ is expressed as a quotient of two integers therefore it is a rational number.
$\frac{1}{3}$ is not an integer.
Thus, an example of an integer that is not a natural number is $\frac{1}{3}$.