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## Simplifying Fractions

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### Simplifying Fractions ... Simplest Form When the only common factor of the numerator and denominator is 1, the fraction is in simplest form. – PowerPoint PPT presentation

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Title: Simplifying Fractions

1
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
3
1

4
4
1
17
Highest Common Factor
• The highest 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 Highest Common Factor?
8 1, 2, 4, 8
12 1, 2, 3, 4, 6, 12
19
What is the Highest Common Factor?
8 1, 2, 4, 8
14 1, 2, 7,14
20
What is the Highest Common Factor?
6 1, 2, 3, 6
18 1, 2, 3, 6, 9, 15
21
What is the Highest Common Factor?
6 1, 2, 3, 6
12 1, 2, 3, 4, 6, 12
22
What is the Highest Common Factor?
8 1, 2, 4, 8
16 1, 2, 4, 8, 16
23
What is the Highest Common Factor?
8 1, 2, 4, 8
10 1, 2, 5, 10
24
What is the Highest Common Factor?
3 1, 3
6 1, 2, 3, 6
25
What is the Highest Common Factor?
4 1, 2, 4
6 1, 2, 3, 6
26
What is the Highest Common Factor?
7 1, 7,
21 1, 3, 7, 21
27
What is the Highest 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 highest 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
29
Simplify or Reduce This Fraction
12
2
6

18
3
6
30
Simplify or Reduce This Fraction
9
3
3

21
7
3
31
Simplify or Reduce This Fraction
12
3
4

20
5
4
32
Simplify or Reduce This Fraction
10
2
5

15
3
5
33
Simplify or Reduce This Fraction
10
5
2

16
8
2
34
Simplify or Reduce This Fraction
12
3
4

16
4
4
35
Simplify or Reduce This Fraction
3
1
3

12
4
3
36
Simplify or Reduce This Fraction
2
1
2

8
4
2
37
Simplify or Reduce This Fraction
2
1
2

4
2
2
38
Simplify or Reduce This Fraction
6
2
3

9
3
3
39
Simplify or Reduce This Fraction
6
3
2

8
4
2