# How can a repeating decimal be a rational number?

##### 1 Answer

#### Answer:

A rational number is any number that can be written as a fraction with an integer over a denominator which is also an integer.

#### Explanation:

For example...

Irrational number is

A rational number is

Any

Any

So

and

The simplest example is

All recurring decimals come from dividing a fraction, so they are rational.