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SIMPLIFYING, MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS

SIMPLIFYING, MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS. Section R-7. 1/3/2020 8:36 AM. R-7: Simplifying Rational Expressions. 1. QUICK REVIEW. Factor Factor. 1/3/2020 8:36 AM. R-7: Simplifying Rational Expressions. 2. QUICK REVIEW. Remember:. 1/3/2020 8:36 AM.

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SIMPLIFYING, MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS

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  1. SIMPLIFYING, MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS Section R-7 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 1

  2. QUICK REVIEW Factor Factor 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 2

  3. QUICK REVIEW Remember: 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 3

  4. RULES OF SIMPLIFYING EXPRESSIONS • Take GCF of numerator(s) and denominator(s) if possible. • Factor the numerator(s) (top) into simplest form • Factor the denominator(s) (bottom) into the simplest form • Cancel [cross] out the factors if needed, multiply and simplify. Apply the GCF to the factors, then… • FACTOR, • CANCEL, • QUIT. 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 4

  5. EXAMPLE 1 Simplify NO! 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 5

  6. EXAMPLE 1 Simplify 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 6

  7. EXAMPLE 2 Simplify 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 7

  8. EXAMPLE 3 Simplify 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 8

  9. EXAMPLE 4 Simplify REMEMBER: TAKE GCF 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 9

  10. YOUR TURN Simplify REMEMBER: TAKE GCF 1/3/2020 8:36 AM R-7: Simplifying Rational Expressions 10

  11. Rules to Multiply Expressions • Take GCF of numerator(s) and denominator(s) if possible. • Factor the numerator(s) (top) into simplest form • Factor the denominator(s) (bottom) into the simplest form • Cancel and Cross Cancel out the factors and cancel if needed, multiply and simplify. R-7: Dividing Expressions

  12. Example 1 Simplify R-7: Multiplying and Simplifying Expressions

  13. Example 2 Simplify R-7: Multiplying and Simplifying Expressions

  14. Example 3 Simplify R-7: Multiplying and Simplifying Expressions

  15. Your Turn Simplify R-7: Multiplying and Simplifying Expressions

  16. RULES TO DIVIDE EXPRESSIONS Take GCF of numerator(s) and denominator(s) if possible. Take the reciprocal (flip) of the second fraction. -- KEEP IT, CHANGE IT, FLIP IT – Now it’s a Multiplication Problem!!! 1/3/2020 8:36 AM R-7: Dividing Expressions 16

  17. EXAMPLE 1 Simplify 1/3/2020 8:36 AM R-7: Dividing Expressions 17

  18. EXAMPLE 2 Simplify 1/3/2020 8:36 AM R-7: Dividing Expressions 18

  19. YOUR TURN Simplify 1/3/2020 8:36 AM R-7: Dividing Expressions 19

  20. ASSIGNMENT Rational Expressions Worksheet! Due: Friday 1/3/2020 8:36 AM R-7: Dividing Expressions 20

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