Question

Question #c6b3b

Answer 1

`31/15`

Explanation:

So you want `6` to be recurring. This is shown as `2.0dot6dot6`.

We set this equal to `x`.

`x=2.0dot6dot6`

Multiply by `10`

`10x=20.dot6dot6`

Multiply by `10` again

`100x=206.dot6dot6`

Now we know what `10x` and `100x` is equal to. Then, subtracting `10x` from `100x` will get rid of the `.dot6dot6` (Annoying part)

`90x=186`

Divide by `90`

`x=31/15`

Now since we set `x=2.0dot6dot6`,

`2.0dot6dot6=31/15`

And bob's your uncle.
Hope this helped! ;)