Short Answer

Add the rational expressions: 3y4y3+74y3\frac{3y}{4y-3} + \frac{7}{4y-3}.

Question: Add the rational expressions: 3y4y3+74y3\frac{3y}{4y-3} + \frac{7}{4y-3}.

Sample answer: 3y+74y3\frac{3y + 7}{4y - 3}

Key points:

  • Identify that both expressions share the common denominator 4y34y - 3.
  • Add the numerators together to get 3y+73y + 7.
  • Place the combined numerator over the common denominator to form the single rational expression 3y+74y3\frac{3y + 7}{4y - 3}.

Rubric: Award full credit if the student provides the correct sum over the common denominator.

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Updated 2026-06-19

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