Answer:

Explanation:
We require to create 2 equations with the repeating value (0.989898... )
placed after the decimal point.
let x = 0.989898.... → (1) ( multiply both sides by 100 )
100x = 98.9898..... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
99x = 98 ( divide both sides by 99 )
x =

Thus
0.989898... =
as an exact fraction