How do you convert 0.888… (repeating) to a fraction?

To convert the repeating decimal 0.888… into a fraction, we can use the following method:

1. Let x equal the repeating decimal: x = 0.888…
2. Since the decimal repeats every one digit, we can multiply both sides of the equation by 10: 10x = 8.888…
3. Now we have two equations:
   • x = 0.888…
   • 10x = 8.888…
4. Next, we will subtract the first equation from the second:

   10x – x = 8.888… – 0.888…

5. This simplifies to:
   9x = 8
6. Now, divide both sides by 9:
7. x = 8/9

Therefore, the repeating decimal 0.888… can be expressed as the fraction 8/9.