#3**+2 **

OK

Forget about the "2" we'll append that later

Since we have one repeated "8"....put this over the same number of "9's" as repeated digits.....since we have one repeated digit....put the 8 over one 9 and we have 8/9

Add back the 2 and we have 2 8/9 = 26 / 9

Another approach

Let x = .8888....

And 10x = 8.8888....so.....

10x - x = 8.8888 - .8888

9x = 8 divide both sides by 9

x = 8/9

Add back the 2 and we have 2 + 8/9 = 26/9

CPhill
Mar 28, 2017