Fractions VI Simplifying Fractions

1
Fractions VISimplifying 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
3
1


4
4
1
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
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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
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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
2
6


18
3
6
26
Simplify or Reduce This Fraction
12
2
6


18
3
6
27
Simplify or Reduce This Fraction
9
3
3


21
7
3
28
Simplify or Reduce This Fraction
12
3
4


20
5
4
29
Simplify or Reduce This Fraction
10
2
5


15
3
5
30
Simplify or Reduce This Fraction
10
5
2


16
8
2
31
Simplify or Reduce This Fraction
12
3
4


16
4
4
32
Simplify or Reduce This Fraction
3
1
3


12
4
3
33
Simplify or Reduce This Fraction
2
1
2


8
4
2
34
Simplify or Reduce This Fraction
2
1
2


4
2
2
35
Simplify or Reduce This Fraction
6
2
3


9
3
3
36
Simplify or Reduce This Fraction
6
3
2


8
4
2