Respuesta :

arthurpdc
If [tex]x=0.01666...[/tex]:

[tex] x=0.01666...\iff 100x=1.666...~\text{and}~1000x=16.666...[/tex]

Hence:

[tex]1000x-100x=16.666...-1.666...\\\\ 900x=15\\\\ x=\dfrac{15}{900}\iff\boxed{x=\dfrac{1}{60}}[/tex]