Respuesta :

[tex]x=0.7636363\ldots[/tex]
[tex]10x=7.636363\ldots[/tex]
[tex]1000x=763.636363\ldots[/tex]

[tex]\implies1000x-10x=990x=756\implies x=\dfrac{756}{990}=\dfrac{42}{55}[/tex]