Answer:
The fraction is 41/99.
Step-by-step explanation:
The steps are :
[tex]let \: x \: be \: fraction,[/tex]
[tex]x = 0.414141.....[/tex]
[tex]100x = 41.414141.....[/tex]
[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]
[tex]99x = 41[/tex]
[tex]x = \frac{41}{99} [/tex]
