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  • Addition and Subtraction of Rational Expressions with a Common Denominator

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Rational expressions like pq+rq\frac{p}{q} + \frac{r}{q}qp​+qr​ share a common denominator. Match each term to its rule.

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Updated 2026-07-10

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OpenStax

Elementary Algebra @ OpenStax

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

Algebra

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OpenStax Psychology (2nd ed.) Textbook

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  • pq−rq=?\frac{p}{q} - \frac{r}{q} = ?qp​−qr​=?

  • Rational expressions like pq+rq\frac{p}{q} + \frac{r}{q}qp​+qr​ share a common denominator. Match each term to its rule.

  • Arrange the steps in order for adding or subtracting two rational expressions that have a common denominator, such as pq+rq\frac{p}{q} + \frac{r}{q}qp​+qr​.

  • When adding or subtracting rational expressions that have a common denominator, you add or subtract the _____ and keep the denominator the same.

  • When you add two rational expressions that have the same denominator, what happens to the denominator in the sum?

  • True or False: pq+rq=p+rq\frac{p}{q} + \frac{r}{q} = \frac{p+r}{q}qp​+qr​=qp+r​

  • After combining the numerators of rational expressions with a common denominator, what should you do next?

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