Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.888.. (1) ← multiply both sides by 10
10x = 8.888.. (2)
subtract (1) from (2) thus eliminating the repeating digits
9x = 8 ( divide both sides by 9 )
x = [tex]\frac{8}{9}[/tex]
