First, you would turn 2 1/9 into an improper fraction. 2 1/9 is now turned into 19/9. Now, you need to find a common denominator between 19/9 and 5/6. The least common denominator, which is the smallest number that both denominators can multiply to, is 18. 19/9 is turned into 38/18 (which is still 19/9 when simplified). 5/6 is turned into 15/18. Now, since both 38/18 and 15/18 have a common denominator, we can write the fraction like (38-15)/18. 38-15 is 23, so your answer is 23/18. When simplified, 23/18 becomes 1 5/18.
