Question

Rewrite as a simplified fraction. 2.2666... = ?

Answer 1

`(34)/(15)` or
`2 (4)/(15)`

Explanation:

Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.

100x = 226.6666...

10x = 22.6666...

Subtracting the two equations, we have:

90x = 204

x = 204/90