# Writing repeating decimals as fractions review

Review converting repeating decimals to fractions, and then try some practice problems.

## Writing decimals as fractions

To convert a decimal to a fraction, we write the decimal number as a numerator, and we write its place value as the denominator.

**Example 1:**

is . So, we write over .

## But what about repeating decimals?

Let's look at an example.

**Rewrite as a simplified fraction.**

Let equal the decimal:

Set up a second equation such that the digits after the decimal point are identical:

Subtract the two equations:

Solve for :

Remember from the first step that is equal to our repeating decimal, so:

*Want to learn more about writing repeating decimals as fractions? Check out this video.*