Answer:
[tex]\frac{41}{99}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits placed after the decimal point.
let x = 0.4141.. → (1) Multiply both sides by 100
100x = 41.4141.. → (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 41 ( divide both sides by 99 )
x = [tex]\frac{41}{99}[/tex]
That is 0.4141.... = [tex]\frac{41}{99}[/tex]
