Respuesta :

SaniShahbaz

Answer:

[tex]2.\overline {67}=\frac{265}{99}[/tex]

Step-by-step explanation:

Given

[tex]2.\overline {67}[/tex]

Let

[tex]x=2.\overline {67}[/tex]

[tex]x=2.676767...[/tex]

[tex]100x=100(2.676767...)[/tex]

[tex]100x=267.6767...[/tex]

[tex]100x=265+2.6767...[/tex]

[tex]100x=265+x[/tex]

[tex]99x=265[/tex]

[tex]x=\frac{265}{99}[/tex]

Therefore,

  • [tex]2.\overline {67}=\frac{265}{99}[/tex]