I think you're describing the number 0.888... where the 8s will keep going forever and never end.
Now, I've been around a long time, and worked a lot of math, but I never knew how to make a fraction out of repeating decimal until just a short time ago. That's exactly what we need here. Here's the trick:
-- You have a decimal, with a set of digits ... 1 or 2 or 3 or however many ... that repeat.
-- Take one complete set of the digits that repeat. Write them on top of a fraction.
-- On the bottom of the fraction, write the same number of nines as however many digits are on top.
-- THERE's your fraction that's equivalent to the repeating decimal ! You can go ahead and simplify it if it's possible and you feel like it.
In this problem, the repeating part is only one digit ... the 8 .
Write 8 on top of the fraction. Then write a single 9 on the bottom.
There's your equivalent fraction. 0.888...repeating is equal to 8/9 .
