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Evaluate the following expression: - 1/3 (1/2-1/3)


User DrSvanHay
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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:

  • 1/2 = 3/6
  • 1/3 = 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.

User Sorceror
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