Final answer:
The expression - 1/3 (1/2-1/3) evaluates to -1/18 after finding a common denominator for the fractions and then multiplying the result by -1/3.
Step-by-step explanation:
To evaluate the expression - 1/3 (1/2-1/3), we will follow a step-by-step process. First, calculate the difference between 1/2 and 1/3 to find the value inside the parentheses.
Finding a common denominator, we can express 1/2 as 3/6 and 1/3 as 2/6:
Now, subtract 1/3 from 1/2:
3/6 - 2/6 = 1/6
Next, multiply this result by -1/3:
-1/3 * 1/6 = -1/18
There you have the evaluated expression: -1/18.