Answer:
-4
Step-by-step explanation:
First combine 2/3 - 4, the quantity enclosed by absolute value symbols | :
The LCD heree is 3. Thus, 2/3 - 4 can be rewritten as 2/3 - 12/3, or -10/3.
Next, take the absolute value of this -10/3: we get 10/3.
Then we have -10/3 divided by 5/6:
-10
-------
3
--------------
5
----
6
Here we're dividing by a fraction. An equivalent expression involves inverting 5/6 and multiplying the result by -10/3:
-10 6
----- * -----
3 5
This reduces to -2(2), or -4
