Solve (1/6+2 2/3) x (1 1/4-1/2)

Step-by-step explanation:

The expression is

(1/6+2 2/3) x (1 1/4-1/2)

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

(5 - 2) / 4 = 3/4

The expression becomes

17/6 * 3/4 = 17/8 = 2 1/8