The expression 2/3 divided by 16 plus (3/4+1/6) divided by 1/3 results in 1/24 plus 11/4, or 67/24, which is approximately 2.792 when converted to decimal form.
The original question asks for solving a two-part mathematical expression:
First, 2/3 divided by 16, and second, the sum of 3/4 and 1/6 divided by 1/3.
Let's address each part step-by-step.
For the first section, dividing 2/3 by 16 can be done by multiplying 2/3 by the reciprocal of 16, which is 1/16:
2/3 × 1/16 = 2/48 = 1/24
For the second section, adding 3/4 and 1/6 requires finding a common denominator, which is 12:
3/4 + 1/6 = 9/12 + 2/12 = 11/12
Then, we divide this sum by 1/3 by multiplying by the reciprocal of 1/3, which is 3/1:
11/12 × 3/1 = 33/12 = 11/4
Combining both sections of the expression gives us:
1/24 + 11/4 = 1/24 + 66/24 = 67/24
Hence, the final answer to the expression is 67/24, which in decimal form is approximately 2.792.