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, 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 9 and 27?
1, 3, 9

9. Name a Common Factor of 4 and 8?
1, 2, 4

10. Name a Common Factor of 4 and 8?
1, 2, 4

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

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

13. Name a Common Factor of 9 and 21?
1, 3, 9,

14. Name a Common Factor of 10 and 25?
1, 5, 10

15. Name a Common Factor of 3 and 4?1

16. 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

17. 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

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

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

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

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

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

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

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

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

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

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

28. 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

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

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

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

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

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

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

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

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

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

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

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