Question

2.67 repeating as a fraction in simplified

Answer 1

`2.\overline {67}=(265)/(99)`

Explanation:

Given

`2.\overline {67}`

Let

`x=2.\overline {67}`

`x=2.676767...`

`100x=100(2.676767...)`

`100x=267.6767...`

`100x=265+2.6767...`

`100x=265+x`

`99x=265`

`x=(265)/(99)`

Therefore,

• 
  `2.\overline {67}=(265)/(99)`