Multiple choice

What is multiplicative inverse of the following expression?

{ ½ - 2/4 + 1/3 - ¼ } / {½ - 2/4 + 1/3 + ¼ } ?

    • 1/7

  2. 7

  3. 1/7

  4. 49
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B Correct answer
Explanation

Multiplicative inverse of a number is equal to the reciprocal of the given number such that product of the given number and its reciprocal is equal to 1. The given expression is { ½ - 2/4 + 1/3 - ¼ } / { ½ - 2/4 + 1/3 + ¼ } = { ½ - ½ + 1/3 - ¼ } / { ½ - ½ + 1/3 + ¼ } = { 1/3 - ¼ } / {1/3 + ¼ } = {1/12} / {7/12} = 1/7

Therefore, multiplicative inverse of the given number is 7.

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