(3/4*5/6) divided by1/2

To solve this problem, we need to remember the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Using this order, we can rewrite the expression as follows:

(3/4 * 5/6) ÷ 1/2

We first simplify the multiplication inside the parentheses:

(15/24) ÷ 1/2

Next, we can think of division as multiplication by the reciprocal, so we rewrite the expression as follows:

(15/24) * 2/1

We can simplify this by canceling the 24 and 2:

(15/12) = 5/4

Therefore, the final answer is 5/4.