Express `0. 0bar01 ` as a fraction in the simplest form.

Explanation

To express \( 0.0\overline{01} \) as a fraction in its simplest form, we can follow these steps:

### Step 1: Define the repeating decimal as a variable
Let \( x = 0.0\overline{01} \).

### Step 2: Multiply by a power of 10 to shift the decimal point
Since the repeating part "01" has two digits, we multiply \( x \) by 1000 (to account for the three digits before the repeating part):
\[
...