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1. Simplifying Fractions
By Monica Yuskaitis

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. 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 a Common Factor of
9 and 27?
1, 3, 9

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

9. 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

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

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

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

13. 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
18
2
3
÷
6
6 =

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

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

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

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

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

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

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

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

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

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

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