Multiple choice

What is the approximate value of (2-1 + 6-1) + (7-1 + 4-1)?

  1. 1

  2. 3

  3. 9

  4. 12
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A Correct answer
Explanation

(1/2 + 1/6) + (1/7 + 1/4) = (3/6 + 1/6) + (4/28 + 7/28) = 4/6 + 11/28 = 2/3 + 11/28 = (56 + 33) / 84 = 89 / 84, which is approximately 1.

AI explanation

Rewrite the negative exponents as fractions to get (1/2 + 1/6) + (1/7 + 1/4). Solving the first parenthesis gives 4/6, which simplifies to 2/3. Solving the second parenthesis gives 11/28. Adding 2/3 and 11/28 gives 89/84, which is approximately 1.05.

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