Answer:
[tex]\frac{98}{99}[/tex]
Step-by-step 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 = [tex]\frac{98}{99}[/tex]
Thus
0.989898... = [tex]\frac{98}{99}[/tex] as an exact fraction
