First, find the least common denominator for 2,3,6, and 18. That would be 18
Then, convert each of the fractions to have 18 as the denominator,
5/6 = 15/18 (5*3)/(6*3)
7/18 = 7/18 (no conversion needed for this one)
2/3 = 12/18 (2*6)/(3*6)
1/2 = 9/18 (1*9)/(2*9)
Now, add the converted fractions,
15/18 + 7/18 + 12/18 + 9/18 = 43/18 = 2 7/18