Lesson 5-2 Simplifying Fractions

Thanks, Marissa, for suggesting to change the font to Gray.

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, 2, 5 Factors of 10 are 1, 2, 5 and 10.and 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 and 3

Name a Common Factor of 10 and 25?

1 and 5

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 shared by 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

Step 1: Find the GCF of the numerator and denominator

Step 2: Divide the N and D by the GCF

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

=