Fractions VI Simplifying Fractions

# Fractions VI Simplifying Fractions

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## Fractions VI Simplifying Fractions

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1. Fractions VISimplifying Fractions Mr. Jerolaman

2. Factor • A number that divides evenly into another. • Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24.

3. What are the factors of 9? • Factors of 9 are 1, 3 and 9.

4. What are the factors of 10? • Factors of 10 are 1, 5 and 10.

5. What are the factors of 7? • Factors of 7 are 1 and 7.

6. What are the factors of 56? • Factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

7. Common Factor • When two numbers have the same factor it is called a common factor. • A common factor of 12 and 6 is 3.

8. Name a Common Factor of 15 and 30? 1, 3, 5, 15

9. Name a Common Factor of 12 and 48? 1, 2, 3, 4, 6, 12

10. Simplest Form • When the only common factor of the numerator and denominator is 1, the fraction is in simplest form. 3 1 3 ÷ = 4 1 4

11. Greatest Common Factor • The greatest common factor is the largest factor between two numbers. 12 = 1, 2, 3, 4, 6, 12 18 = 1, 2, 3, 6, 9, 18

12. What is the Greatest Common Factor? 8 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12

13. What is the Greatest Common Factor? 8 = 1, 2, 4, 8 14 = 1, 2, 7,14

14. What is the Greatest Common Factor? 6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15

15. What is the Greatest Common Factor? 6 = 1, 2, 3, 6 12 = 1, 2, 3, 4, 6, 12

16. What is the Greatest Common Factor? 8 = 1, 2, 4, 8 16 = 1, 2, 4, 8, 16

17. What is the Greatest Common Factor? 8 = 1, 2, 4, 8 10 = 1, 2, 5, 10

18. What is the Greatest Common Factor? 3 = 1, 3 6 = 1, 2, 3, 6

19. What is the Greatest Common Factor? 4 = 1, 2, 4 6 = 1, 2, 3, 6

20. What is the Greatest Common Factor? 7 = 1, 7, 21 = 1, 3, 7, 21

21. What is the Greatest Common Factor? 15 = 1, 3, 5, 15 24 = 1, 2, 3, 8, 12, 24

22. How to Find the Simplest Form of a Fraction • Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number. 12 6 2 ÷ = 18 6 3

23. Simplify or Reduce This Fraction 12 6 2 ÷ = 18 6 3

24. Simplify or Reduce This Fraction 9 3 3 ÷ = 21 3 7

25. Simplify or Reduce This Fraction 12 4 3 ÷ = 20 4 5

26. Simplify or Reduce This Fraction 10 5 2 ÷ = 15 5 3

27. Simplify or Reduce This Fraction 10 2 5 ÷ = 16 2 8

28. Simplify or Reduce This Fraction 12 4 3 ÷ = 16 4 4

29. Simplify or Reduce This Fraction 3 3 1 ÷ = 12 3 4

30. Simplify or Reduce This Fraction 2 2 1 ÷ = 8 2 4

31. Simplify or Reduce This Fraction 2 2 1 ÷ = 4 2 2

32. Simplify or Reduce This Fraction 6 3 2 ÷ = 9 3 3

33. Simplify or Reduce This Fraction 6 2 3 ÷ = 8 2 4