Fractions VI Simplifying Fractions

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Fractions VISimplifying Fractions

• By Monica Yuskaitis

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Factor

• A number that divides evenly into
  another.

• Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24.

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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.

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What are the factors of 7?

• Factors of 7 are 1 and 7.

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What are the factors of 56?

• Factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

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Common Factor

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

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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
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Name a Common Factor of 12 and 48?
1, 2, 3, 4, 6, 12
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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
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
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What is the Greatest Common Factor?
8 1, 2, 4, 8
12 1, 2, 3, 4, 6, 12
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What is the Greatest Common Factor?
8 1, 2, 4, 8
14 1, 2, 7,14
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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
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What is the Greatest Common Factor?
8 1, 2, 4, 8
16 1, 2, 4, 8, 16
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What is the Greatest Common Factor?
8 1, 2, 4, 8
10 1, 2, 5, 10
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What is the Greatest Common Factor?
3 1, 3
6 1, 2, 3, 6
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What is the Greatest Common Factor?
4 1, 2, 4
6 1, 2, 3, 6
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What is the Greatest Common Factor?
7 1, 7,
21 1, 3, 7, 21
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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
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