Short Answer

When adding 4u13u1+u13u\frac{4u-1}{3u-1} + \frac{u}{1-3u}, how are the denominators related? What number do you multiply the second fraction by to get a common denominator?

Question: When adding 4u13u1+u13u\frac{4u-1}{3u-1} + \frac{u}{1-3u}, how are the denominators related? What number do you multiply the second fraction by to get a common denominator?

Sample answer: They are opposites, so multiply by 1-1.

Key points:

  • opposites
  • 1-1

Feedback: The denominators 3u13u-1 and 13u1-3u are opposites. To create a common denominator, you multiply the numerator and denominator of the second fraction by 1-1.

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Updated 2026-06-20

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