1 / 15

Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions. Lesson 3.10 Page 171. Example 1 : (Adding-Like). Example 2 : (Adding-Like). Example 3 : (Subtracting-Like). Example 4 : (Subtracting-Like). What happens if the denominators are not the same?.

sandraoliver
Download Presentation

Adding and Subtracting Rational Expressions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Adding and SubtractingRational Expressions Lesson 3.10 Page 171

  2. Example 1: (Adding-Like)

  3. Example 2: (Adding-Like)

  4. Example 3: (Subtracting-Like)

  5. Example 4: (Subtracting-Like)

  6. What happens if the denominators are not the same? You must make them the same by finding a least common denominator (LCD)!

  7. Definition: LCDLeast Common Denominator The least common denominator (LCD) of two or more rational expressions is the product of the factors of the rational expressions with each common factor used only once. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140 14, 28, 42, 56, 70, 84, 98, 112, 126, 140

  8. Example 5: (Adding-Unlike)

  9. Adding or Subtracting Rational Expressions with Different Denominators • Find the least common denominator (LCD). • Rewrite each rational expression as an equivalent fraction with the least common denominator as the denominator. • Add or subtract the numerators to get the numerator sum or difference. The least common denominator is the denominator. • Write the answer in lowest terms.

  10. Example 6: (Adding-Unlike)

  11. Example 7: (Subtracting-Unlike) First factor the denominators.

  12. Rewrite each rational expression as an equivalent fraction with the least common denominator as the denominator.

  13. Subtract the numerators. The least common denominator is the denominator.

  14. Finally write the answer in lowest terms.

  15. Homework Assignment: Page 173 # 1 – 6 all # 13 – 18 all

More Related