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]
