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How does the reciprocals of a fraction equation work?

  1. Multiply the numerator and denominator by 2

  2. Multiply the numerator and denominator by -1

  3. Divide the numerator and denominator by 2

  4. Switch the numerator and denominator

The correct answer is: Switch the numerator and denominator

When taking the reciprocal of a fraction equation, you are essentially flipping the fraction over. This means that the numerator becomes the denominator and the denominator becomes the numerator. Options A, B, and C all involve some form of multiplying or dividing the fraction by a value, which would change the overall equation and not result in the reciprocal. Therefore, the correct option is D, which switches the positions of the numerator and denominator to achieve the reciprocal of the fraction.