1. Fractions VI Simplifying Fractions

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, 2, 5 and 10.

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

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

7. Name THE GCF of 9 and 27?
9 – 1,3,9
27 – 1,3,9, 27
GCF - 9

8. NaME THE GCF of 4 and 8?
4 – 1,2,4
8 – 1,2,4,8
GCF - 4

9. Name the GCF of 15 and 30?
15 – 1,3,5, 15
30 – 1,2,3,5,6, 10, 15, 30
GCF - 15

10. Name the GCF of 9 and 21?
9 – 1,3,9
21 – 1,3,7, 21
GCF = 3

11. Name the GCF of 10 and 25?
10 – 1,2,5,10
25 – 1,5, 25
GCF = 5

12. Name the GCF of 3 and 4?
3 – 1,3
4 – 1,4
GCF IS 1!

13. 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

14. 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

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

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

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

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

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

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

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

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

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

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

25. 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

26. Simplify or Reduce This Fraction12 6 2 ÷ = 18 6 3

27. Simplify or Reduce This Fraction9 3 3 ÷ = 21 3 7

28. Simplify or Reduce This Fraction12 4 3 ÷ = 20 4 5

29. Simplify or Reduce This Fraction10 5 2 ÷ = 15 5 3

30. Simplify or Reduce This Fraction10 2 5 ÷ = 16 2 8

31. Simplify or Reduce This Fraction12 4 3 ÷ = 16 4 4

32. Simplify or Reduce This Fraction3 3 1 ÷ = 12 3 4

33. Simplify or Reduce This Fraction2 2 1 ÷ = 8 2 4

34. Simplify or Reduce This Fraction2 2 1 ÷ = 4 2 2

35. Simplify or Reduce This Fraction6 3 2 ÷ = 9 3 3

36. Simplify or Reduce This Fraction6 2 3 ÷ = 8 2 4