# Are some rational numbers integers?

Apr 2, 2016

Yes. All integers are rational numbers, but not all rational numbers are integers.

#### Explanation:

A number is called rational if it can be expressed in the form $\frac{p}{q}$ for some integers $p$ and $q$, with $q \ne 0$.

Any integer $n$ can be expressed in such a way as $\frac{n}{1}$, so is a rational number.

Not all rational numbers are integers. For example, $\frac{1}{2}$.

So some rational numbers are integers.