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Adding Rational Expressions

This guide explains how to add rational expressions involving polynomials. To combine fractions with different denominators, it's essential to find the Least Common Denominator (LCD). This process ensures that the denominators are the same, allowing for proper addition. For instance, in the example where two expressions are given, the procedure involves multiplying the denominators and adjusting the numerators accordingly. This approach is crucial for correctly adding the rational expressions and understanding the underlying algebraic principles.

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Adding Rational Expressions

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  1. Adding Rational Expressions By Mack, Bryce, Mitchell, and Jenna

  2. If P, Q, and R are polynomials and Q, + =

  3. Example: • +

  4. To add rational expressions with different denominators, you have to find the LCD-Least Common Denominator • Denominators have to be the same!

  5. Example: • + = • Multiply Denominators: 9 4 = 36 so • + =

  6. + • Multiply denominators: 8g1 • Multiply 78g so: • + =

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