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Fractions VIFractions VISimplifying Simplifying FractionsFractions
By Monica YuskaitisBy Monica Yuskaitis
FactorFactor
A number that divides A number that divides evenly into another. 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 What are the factors of 9?9?
Factors of 9 are 1, 3 and 9.Factors of 9 are 1, 3 and 9.
What are the factors of What are the factors of 10?10?
Factors of 10 are 1, 5 and Factors of 10 are 1, 5 and 10.10.
What are the factors of What are the factors of 7?7?
Factors of 7 are 1 and 7.Factors of 7 are 1 and 7.
What are the factors of What are the factors of 56?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 FactorCommon 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 Name a Common Factor of 9 and 27?of 9 and 27?
1, 3, 9
Name a Common Factor Name a Common Factor of 4 and 8?of 4 and 8?
1, 2, 4
Name a Common Factor Name a Common Factor of 4 and 8?of 4 and 8?
1, 2, 4
Name a Common Factor Name a Common Factor of 15 and 30?of 15 and 30?
1, 3, 5, 15
Name a Common Factor Name a Common Factor of 12 and 48?of 12 and 48?
1, 2, 3, 4, 6, 12
Name a Common Factor Name a Common Factor of 9 and 21?of 9 and 21?
1, 3, 9,
Name a Common Factor Name a Common Factor of 10 and 25?of 10 and 25?
1, 5, 10
Name a Common Factor Name a Common Factor of 3 and 4?of 3 and 4?
1
Simplest FormSimplest Form
When the only common factor When the only common factor of the numerator and of the numerator and denominator is 1, the fraction is denominator is 1, the fraction is in simplest form.in simplest form.
34
34÷
11 =
Greatest Common Greatest Common FactorFactor
The greatest common The greatest common factor is the largest factor factor is the largest factor between two numbers.between two numbers.
12 = 1, 2, 3, 4, 6, 1218 = 1, 2, 3, 6, 9, 18
What is the Greatest What is the Greatest Common Factor?Common Factor?
8 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12
What is the Greatest What is the Greatest Common Factor?Common Factor?
8 = 1, 2, 4, 8 14 = 1, 2, 7,14
What is the Greatest What is the Greatest Common Factor?Common Factor?
6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15
What is the Greatest What is the Greatest Common Factor?Common Factor?
6 = 1, 2, 3, 6 12 = 1, 2, 3, 4, 6, 12
What is the Greatest What is the Greatest Common Factor?Common Factor?
8 = 1, 2, 4, 8 16 = 1, 2, 4, 8, 16
What is the Greatest What is the Greatest Common Factor?Common Factor?
8 = 1, 2, 4, 8 10 = 1, 2, 5, 10
What is the Greatest What is the Greatest Common Factor?Common Factor?
3 = 1, 36 = 1, 2, 3, 6
What is the Greatest What is the Greatest Common Factor?Common Factor?
4 = 1, 2, 46 = 1, 2, 3, 6
What is the Greatest What is the Greatest Common Factor?Common Factor?
7 = 1, 7, 21 = 1, 3, 7, 21
What is the Greatest What is the Greatest Common Factor?Common Factor?
15 = 1, 3, 5, 15 24 = 1, 2, 3, 8, 12, 24
How to Find the Simplest How to Find the Simplest Form of a FractionForm of a Fraction
Find the greatest common factor of Find the greatest common factor of the numerator and the denominator the numerator and the denominator and divide both the numerator and and divide both the numerator and the denominator by that number.the denominator by that number.
1218
23÷
66 =
Simplify or Reduce This Simplify or Reduce This FractionFraction
1218
23
÷ 66
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
921
37
÷ 33
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
1220
35
÷ 44
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
1015
23
÷ 55
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
1016
58
÷ 22
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
1216
34
÷ 44
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
312
14
÷ 33
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
28
14
÷ 22
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
24
12
÷ 22
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
69
23
÷ 33
=
Simplify or Reduce This Simplify or Reduce This FractionFraction
68
34
÷ 22
=
