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  • Adding 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​

Multiple Choice

What is the denominator of the sum 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​?

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Updated 2026-09-17

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OpenStax

Elementary Algebra @ OpenStax

Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax

Algebra

Math

Prealgebra

Recall in Bloom's Taxonomy

Related
  • Documentation of Rational Expression Addition for Performance Metrics

  • Add the rational expressions: 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​. Match each part of the resulting sum to its correct expression.

  • Find the sum: 3y4y−3+74y−3\frac{3y}{4y - 3} + \frac{7}{4y - 3}4y−33y​+4y−37​

  • When adding 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​, the numerator of the sum is _____.

  • What is the denominator of the sum 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​?

  • After obtaining the sum 3y+74y−3\frac{3y + 7}{4y - 3}4y−33y+7​, what is the next step?

  • Arrange the steps to add the rational expressions: 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​.

  • Add the rational expressions: 3y4y−3+74y−3\frac{3y}{4y-3} + \frac{7}{4y-3}4y−33y​+4y−37​.

  • To add the expressions 3y4y−3\frac{3y}{4y-3}4y−33y​ and 74y−3\frac{7}{4y-3}4y−37​, you add the numerators and keep the common denominator 4y−34y-34y−3.

  • What is the sum? Explain the steps to add them and check if the result can be simplified.

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