Respuesta :

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]

dumbo72
100x=25.252525
X= 0.25

Subtract the two:

99=25

25/99 is your fraction