### Instruction: Express .$\overline{28}$ as a common fraction.### Response: I notice that this is a repeating decimal, where the digits 28 repeat infinitely after the decimal point.
I want to find a fraction that is equivalent to this decimal, so I will try to use a technique that involves multiplying by a power of 10 and subtracting.
Let me call the decimal x, so x = 0.$\overline{28}$.
If I multiply both sides by 100, I get 100x = 28.$\overline{28}$.
Now I can subtract x from both sides, and the repeating part will cancel out.
I get 100x - x = 28.$\overline{28}$ - 0.$\overline{28}$.
Simplifying, I get 99x = 28.
Dividing both sides by 99, I get x = 28/99.
This is a fraction that is equivalent to the decimal, and I can check by dividing 28 by 99 and seeing that it gives me 0.$\overline{28}$.