1 / 16

6.4 Adding and Subtracting Rational Expressions

6.4 Adding and Subtracting Rational Expressions. Objective 1. Add rational expressions having the same denominator. Slide 6.4-3. Adding Rational Expressions (Same Denominator) If and ( Q ≠ 0) are rational expressions, then

kaylee
Download Presentation

6.4 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. 6.4 Adding and Subtracting Rational Expressions

  2. Objective 1 Add rational expressions having the same denominator. Slide 6.4-3

  3. Adding Rational Expressions (Same Denominator) If and (Q ≠ 0) are rational expressions, then That is, to add rational expressions with the same denominator, add the numerators and keep the same denominator. Add rational expressions having the same denominator. We find the sum of two rational expressions with the same procedure that we used in Section 1.1 for adding two fractions having the same denominator. Slide 6.4-4

  4. CLASSROOM EXAMPLE 1 Adding Rational Expressions (Same Denominator) Solution: Add. Write each answer in lowest terms. Slide 6.4-5

  5. Objective 2 Add rational expressions having different denominators. Slide 6.4-6

  6. Add rational expressions having different denominators. We use the following steps, which are the same as those used in Section 1.1 to add fractions having different denominators. Adding Rational Expressions (Different Denominators) Step 1:Find the least common denominator (LCD). Step 2:Rewrite each rational expressionas an equivalent rational expression with the LCD as the denominator. Step 3:Addthe numerators to get the numerator of the sum. The LCD is the denominator of the sum. Step 4:Write in lowest termsusing the fundamental property. Slide 6.4-7

  7. CLASSROOM EXAMPLE 2 Adding Rational Expressions (Different Denominators) Solution: Add. Write each answer in lowest terms. Slide 6.4-8

  8. CLASSROOM EXAMPLE 3 Adding Rational Expressions Add. Write the answer in lowest terms. Solution: Slide 6.4-9

  9. CLASSROOM EXAMPLE 4 Adding Rational Expressions Add. Write the answer in lowest terms. Solution: Slide 6.4-10

  10. CLASSROOM EXAMPLE 5 Adding Rational Expressions (Denominators Are Opposites) Add. Write the answer in lowest terms. Solution: Slide 6.4-11

  11. Objective 3 Subtract rational expressions. Slide 6.4-12

  12. Subtracting Rational Expressions (Same Denominator) If and (Q ≠ 0) are rational expressions, then That is, to subtract rational expressions with the same denominator, subtract the numerators and keep the same denominator. Subtract rational expressions. We subtract rational expressions having different denominators using a procedure similar to the one used to add rational expressions having different denominators. Slide 6.4-13

  13. CLASSROOM EXAMPLE 6 Subtracting Rational Expressions (Same Denominator) Subtract. Write the answer in lowest terms. Solution: Sign errors often occur in subtraction problems. The numerator of the fraction being subtracted must be treated as a single quantity. Be sure to use parentheses after the subtraction sign. Slide 6.4-14

  14. CLASSROOM EXAMPLE 7 Subtracting Rational Expressions (Different Denominators) Subtract. Write the answer in lowest terms. Solution: Slide 6.4-15

  15. CLASSROOM EXAMPLE 8 Subtracting Rational Expressions (Denominators Are Opposites) Subtract. Write the answer in lowest terms. Solution: Slide 6.4-16

  16. CLASSROOM EXAMPLE 9 Subtracting Rational Expressions Subtract. Write the answer in lowest terms. Solution: Slide 6.4-17

More Related