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Fractions VI Simplifying Fractions

Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

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Page 1: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Fractions VISimplifying Fractions

Page 2: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

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.

Page 3: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What are the factors of 9?

Factors of 9 are 1, 3 and 9.Factors of 9 are 1, 3 and 9.

Page 4: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What are the factors of 10?

Factors of 10 are 1, 5 and Factors of 10 are 1, 5 and 10.10.

Page 5: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What are the factors of 7?

Factors of 7 are 1 and 7.Factors of 7 are 1 and 7.

Page 6: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

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.

Page 7: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

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.

Page 8: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 9 and 27?

1, 3, 9

Page 9: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 4 and 8?

1, 2, 4

Page 10: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 4 and 8?

1, 2, 4

Page 11: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 15 and 30?

1, 3, 5, 15

Page 12: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 12 and 48?

1, 2, 3, 4, 6, 12

Page 13: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 9 and 21?

1, 3, 9,

Page 14: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 10 and 25?

1, 5, 10

Page 15: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Name a Common Factor of 3 and 4?

1

Page 16: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplest Form When the only common factor

of the numerator and denominator is 1, the fraction is in simplest form.

34

34÷

11 =

Page 17: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

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

Page 18: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

8 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12

Page 19: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

8 = 1, 2, 4, 8 14 = 1, 2, 7,14

Page 20: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15

Page 21: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

6 = 1, 2, 3, 6 12 = 1, 2, 3, 4, 6, 12

Page 22: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

8 = 1, 2, 4, 8 16 = 1, 2, 4, 8, 16

Page 23: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

8 = 1, 2, 4, 8 10 = 1, 2, 5, 10

Page 24: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

3 = 1, 36 = 1, 2, 3, 6

Page 25: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

4 = 1, 2, 46 = 1, 2, 3, 6

Page 26: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

7 = 1, 7, 21 = 1, 3, 7, 21

Page 27: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

What is the Greatest Common Factor?

15 = 1, 3, 5, 15 24 = 1, 2, 3, 8, 12, 24

Page 28: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

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 =

Page 29: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

1218

23

÷ 66

=

Page 30: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

921

37

÷ 33

=

Page 31: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

1220

35

÷ 44

=

Page 32: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

1015

23

÷ 55

=

Page 33: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

1016

58

÷ 22

=

Page 34: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

1216

34

÷ 44

=

Page 35: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

312

14

÷ 33

=

Page 36: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

28

14

÷ 22

=

Page 37: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

24

12

÷ 22

=

Page 38: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

69

23

÷ 33

=

Page 39: Fractions VI Simplifying Fractions Factor A number that divides evenly into another. Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. Factors of 24 are

Simplify or Reduce This Fraction

68

34

÷ 22

=