Respuesta :

[tex]x=0.141414...\ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=14.141414...\\\\100x-x=14.141414...-0.141414...\\\\99x=14\ \ \ \ |divide\ both\ sides\ by\ 99\\\\\boxed{x=\frac{14}{99}}[/tex]