Question

How do you convert 2/9 into a decimal?

Answer 1

`2/9=0.222bar2`

Explanation:

`color(white)("XX")underline(" "0." "2" "2" " 2" " 2" " ....)`
`9 " ) "2." "0" "0" "0" "0`
`color(white)("XXX")underline(1" "8)`
`color(white)("XXXXXX")2`
`color(white)("XXXXXX")underline(1" "8)`
`color(white)("XXXXXXXXX")2`
`color(white)("XXXXXXXXX")underline(1" "8)`
`color(white)("XXXXXXXXXXXX")2`

We can see that this sequence will continue forever.

Note: the bar over the last `2` in `0.222bar2` implies that the `2` is repeated forever.