Answer:
[tex]\frac{25}{99}[/tex]
Step-by-step explanation:
We require two equations with the recurring part after the decimal point.
let x = 0.2525.... →(1) ← multiply both sides by 100
100x = 25.2525.... → (2)
Subtract (1) from (2) eliminating the recurring decimal, that is
99x = 25 ( divide both sides by 99 )
x = [tex]\frac{25}{99}[/tex]
