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Do Now: Find 2 Equivalent Fractions

Do Now: Find 2 Equivalent Fractions. 4/6 6/10 2/8. Finding the Greatest Common Factor. As we learn new words, update your vocabulary table, with… 1. The word 2. The definition 3. An example or picture that represents the word. GREATEST COMMON FACTOR. What is it?

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Do Now: Find 2 Equivalent Fractions

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  1. Do Now: Find 2 Equivalent Fractions 4/6 6/10 2/8

  2. Finding the Greatest Common Factor

  3. As we learn new words, update your vocabulary table, with…1. The word2. The definition3. An example or picture that represents the word

  4. GREATEST COMMON FACTOR • What is it? • The Greatest Common Factor (GCF) is the largest number that is a common factor of two or more numbers. • A factor is a number that divides evenly into a larger number

  5. Find the factors of 8 • 2,4,8

  6. To find the GCF: Think Backwards… • Find Factors • Circle Common Factors • Group Greatest Factor

  7. Step 1: Find the Factors • 24 – 1,2,3,4,6,8,12,24 • 36 – 1,2,3,4,6,9,12,18,36

  8. Step 2: Circle Common Factors • 24 – 1,2,3,4,6,8,12,24 • 36 – 1,2,3,4,6,9,12,18,36

  9. Step 3: Group the Greatest Factor • 24 – 1,2,3,4,6,8,12,24 • 36 – 1,2,3,4,6,9,12,18,36

  10. The Greatest Common Factor of 24 and 36 is… 12

  11. Find the GCF of 12 and 24 • Step 1: Find the factors • 12 – 1,2,3,4,6,12 • 24 – 1,2,3,4,6,8,12,24

  12. Find the GCF of 12 and 24 • Step 2: Circle the common factors • 12 – 1,2,3,4,6,12 • 24 – 1,2,3,4,6,8,12,24

  13. Find the GCF of 12 and 24 • Step 3: Group the greatest factor • 12 – 1,2,3,4,6,12 • 24 – 1,2,3,4,6,8,12,24

  14. The Greatest Common Factor of 12 and 24 is … 12

  15. Your turn! • Find the Greatest Common Factor of 16 and 20. • Remember…Find Factors, Circle Common, Group Greatest!

  16. The Greatest Common Factor of 16 and 20 is… 4

  17. What’s The Point? • The reason why we find GCFs is to reduce fractions to lowest terms • In other words, find the lowest possible equivalent fraction! For example: 4/8 = 2/4 = 1/2 What is 4/8 reduced to lowest terms?

  18. Are you ready? Let's try some more!

  19. Write the fraction in words: • 4/9

  20. Write the fraction in words: • 7/10

  21. Write the fraction in words: • 3/8

  22. Write the fraction in words: • 12/15

  23. Find the GCF: • 8 • 16

  24. Find the GCF: • 32 • 28

  25. Find the GCF: • 40 • 30

  26. Reduce to Lowest Terms: • 6/10

  27. Reduce to Lowest Terms: • 4/16

  28. Reduce to Lowest Terms: • 8/12

  29. Reduce to Lowest Terms: • 10/30

  30. Reduce to Lowest Terms: • 6/24

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