How do you covert 3.6666.recurring into a fraction?

This is just a sick topic in general.

There's a lot of ways to go about it, but for this little guy in particular, its easy. It gets harder with numerous digits repeating.

First, cut the 3 out and focus on the repeated 6s after the decimal.

What fraction yields .6 repeating? 2/3 - Duh

So to convert the Mixed Number 3 2/3 into an Improper Fraction multiply denominator by the discarded 3 in the one's place before the decimal [3*3] and then add the numerator [(3*3)+2=11]. Put the calculated number over the denominator and call it a day.

11/3

Hope this helps.