1/2 times 4/3 plus 5/6 divided by 7/8 as a mixed fraction

To solve this problem, we need to follow the order of operations (also known as PEMDAS).

First, we need to multiply 1/2 by 4/3:

(1/2) * (4/3) = 4/6

Next, we need to add 5/6 to 4/6:

4/6 + 5/6 = 9/6

Finally, we need to divide 9/6 by 7/8:

(9/6) / (7/8) = (9/6) * (8/7) = 72/42

Now let's simplify the fraction 72/42:

72/42 = (6 * 12) / (6 * 7) = 12/7

So the mixed fraction is 1 and 5/7.