Looking at the first parenthesis, (1/6 + 2 2/3), 1/6 is a proper fraction while 2 2/3 is a mixed fraction. We would convert 2 2/3 to improper fraction. It becomes 8/3. The first parenthesis becomes (1/6 + 8/3). The LCM is 6 so it becomes
(1 + 16)/6 = 17/6
Looking at the second parenthesis, (1 1/4 - 1/2), 1/2 is a proper fraction while 1 1/4 is a mixed fraction. We would convert 1 1/4 to improper fraction. It becomes 5/4. The second parenthesis becomes (5/4 - 1/2). The LCM is 4 so it becomes