Post on 03-Jan-2016
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Fractions IISimplifying Fractions
Content StandardsMathematics and Numeracy
G1.S1a.1 b.1-2
Factor
• A number that divides evenly into another.
Factors of 24 are 1,2, 3, 4, Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. 6, 8, 12 and 24.
What are the factors of 9?
Factors of 9 are 1, 3 and 9.Factors of 9 are 1, 3 and 9.
What are the factors of 10?
Factors of 10 are 1, 5 and Factors of 10 are 1, 5 and 10.10.
What are the factors of 7?
Factors of 7 are 1 and 7.Factors of 7 are 1 and 7.
What are the factors of 56?
Factors of 56 are 1, 2, 4, Factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.7, 8, 14, 28, and 56.
Common Factor
When two numbers have When two numbers have the same factor it is called a the same factor it is called a common factor.common factor. A common factor of 12 A common factor of 12 and 6 is 3.and 6 is 3.
Name a Common Factor of 9 and 27?
1, 3, 9
Name a Common Factor of 4 and 8?
1, 2, 4
Name a Common Factor of 4 and 8?
1, 2, 4
Name a Common Factor of 15 and 30?
1, 3, 5, 15
Name a Common Factor of 12 and 48?
1, 2, 3, 4, 6, 12
Name a Common Factor of 9 and 21?
1, 3, 9,
Name a Common Factor of 10 and 25?
1, 5, 10
Name a Common Factor of 3 and 4?
1
Simplest Form
• When the only common factor of the numerator and denominator is 1, the fraction is in simplest form.
34
34÷
11 =
Greatest Common Factor
• The greatest common factor is the largest factor between two numbers.
12 = 1, 2, 3, 4, 6, 1218 = 1, 2, 3, 6, 9, 18
What is the Greatest Common Factor?
8 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12
What is the Greatest Common Factor?
8 = 1, 2, 4, 8 14 = 1, 2, 7,14
What is the Greatest Common Factor?
6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15
What is the Greatest Common Factor?
6 = 1, 2, 3, 6 12 = 1, 2, 3, 4, 6, 12
What is the Greatest Common Factor?
8 = 1, 2, 4, 8 16 = 1, 2, 4, 8, 16
What is the Greatest Common Factor?
8 = 1, 2, 4, 8 10 = 1, 2, 5, 10
What is the Greatest Common Factor?
3 = 1, 36 = 1, 2, 3, 6
What is the Greatest Common Factor?
4 = 1, 2, 46 = 1, 2, 3, 6
What is the Greatest Common Factor?
7 = 1, 7, 21 = 1, 3, 7, 21
What is the Greatest Common Factor?
15 = 1, 3, 5, 15 24 = 1, 2, 3, 8, 12, 24
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.
1218
23÷
66 =
Simplify or Reduce This Fraction
1218
23
÷ 66
=
Simplify or Reduce This Fraction
921
37
÷ 33
=
Simplify or Reduce This Fraction
1220
35
÷ 44
=
Simplify or Reduce This Fraction
1015
23
÷ 55
=
Simplify or Reduce This Fraction
1016
58
÷ 22
=
Simplify or Reduce This Fraction
1216
34
÷ 44
=
Simplify or Reduce This Fraction
312
14
÷ 33
=
Simplify or Reduce This Fraction
28
14
÷ 22
=
Simplify or Reduce This Fraction
24
12
÷ 22
=
Simplify or Reduce This Fraction
69
23
÷ 33
=
Simplify or Reduce This Fraction
68
34
÷ 22
=