Multiple choice

What is the additive inverse of (3/7) + (- 6/11) + (- 16/42) + (10/44)?

    • 125/462
    • 12/22

  3. 30/132

  4. 125/462

  5. 250/462
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D Correct answer
Explanation

(3/7) + (- 6/11) + (- 16/42) + (10/44) For finding the additive inverse of the above expression, we need to find the value of the above expression. Additive inverse of a number is negative value of the same number. So, addition of these two numbers will be zero. For example, additive inverse of 1 is - 1. Now, the value of the given expression: 3/7 - 6/11 - 16/42 + 10/42 = 3/7 - 6/11 - 8/21 + 5/22 = 198/462 - 252/462 - 176/462 + 105/462 = (198 - 252 - 176 + 105) / 462 = - 125/462

Therefore, additive inverse of the given expression is (125/462) so that 125/ 462 - 125/462 = 0.

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