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Adding Fractions

Adding Fractions. Mrs. Brenda Windsor 2008. 5. +. =. 11. 11. Adding Fractions with Common Denominators. Add the Numerators. Keep the Denominators the same. 3. 5. 8. +. =. 11. 11. 11. 1 3. 2 3. +. practice time. 3 7. 3 7. +. 2. 5. 9. 9. 9 16. 4 16. +.

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Adding Fractions

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  1. Adding Fractions Mrs. Brenda Windsor 2008

  2. 5 + = 11 11 Adding Fractions with Common Denominators • Add the Numerators. • Keep the Denominators the same. 3 5 8 + = 11 11 11

  3. 1 3 2 3 + practice time 3 7 3 7 +

  4. 2 5 9 9 9 16 4 16 + = + =

  5. 2 15 3 15 5 15 5 15 + = What does it mean to reduce or simplify? 5 5 ÷ = 1 3 Reduce or simplify if necessary…

  6. 2 3 4 6 9 12 9 12 + = + =

  7. 2 1 7 1 15 16 15 16 + = + =

  8. Adding Fractions with Unlike Denominators • Find a common denominator using LCM. • Multiply numerator and denominator by LCM. • Add the converted fractions. What is an LCM?

  9. LCM east ommon ultiple

  10. 2 5 3 6 + = We need to create fractions with like denominators in order to add these fractions. This is where we need LCM (Least Common Multiples)

  11. List the multiples for each of the factors (denominators) 3: 3, 6, 9, 12, 15, 18 6: 6, 12, 18 • The first common multiple is the Least Common Multiple • This will become the new denominators in order to create like denominators to add fractions.

  12. 3 7 3 4 + = Adding Fractions with Unlike Denominators Multiples of 7: Multiples of 4: 7, 14, 21, 28 4, 8, 12, 16, 20, 24, 28

  13. 3 7 12 28 3 4 21 28 • 3 • 7 4 + X 4 START = X 4 X 7 12 21 28 28 + = READY TO ADD X 7

  14. practice time Common Multiples for these numbers: 6: 12: What is the LCM?

  15. practice time Common Multiples for these numbers: 8: 12: What is the LCM?

  16. practice time Common Multiples for these numbers: 9: 12: What is the LCM?

  17. practice time Common Multiples for these numbers: 4: 12: What is the LCM?

  18. practice time Common Multiples for these numbers: 3: 5: What is the LCM?

  19. practice time Common Multiples for these numbers: 7: 16: What is the LCM?

  20. practice time Common Multiples for these numbers: 6: 5: What is the LCM?

  21. 2 4 3 9 + = What is the LCM that you need for a common denominator?

  22. 4 5 9 12 + = What is the LCM that you need for a common denominator?

  23. 4 5 7 9 + = What is the LCM that you need for a common denominator?

  24. 2 5 3 6 + = What is the LCM that you need for a common denominator?

  25. 4 1 9 2 + = What is the LCM that you need for a common denominator?

  26. REVIEW • In order to add fractions, what must you have? • Explain a simplified fraction • What is an LCM? • What are LCMs used for? • Why is it important to be able to find an LCM?

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