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Simplifying Fractions

Factor

- A number that divides evenly into

another.

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

What are the factors of 9?

- Factors of 9 are 1, 3 and 9.

What are the factors of 10?

- Factors of 10 are 1, 5 and 10.

What are the factors of 7?

- Factors of 7 are 1 and 7.

What are the factors of 56?

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

Common Factor

- When two numbers have the same factor it is

called a common factor. - A common factor of 12 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.

3

3

1

4

4

1

Highest Common Factor

- The highest common factor is the largest factor

between two numbers.

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

18 1, 2, 3, 6, 9, 18

What is the Highest Common Factor?

8 1, 2, 4, 8

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

What is the Highest Common Factor?

8 1, 2, 4, 8

14 1, 2, 7,14

What is the Highest Common Factor?

6 1, 2, 3, 6

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

What is the Highest Common Factor?

6 1, 2, 3, 6

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

What is the Highest Common Factor?

8 1, 2, 4, 8

16 1, 2, 4, 8, 16

What is the Highest Common Factor?

8 1, 2, 4, 8

10 1, 2, 5, 10

What is the Highest Common Factor?

3 1, 3

6 1, 2, 3, 6

What is the Highest Common Factor?

4 1, 2, 4

6 1, 2, 3, 6

What is the Highest Common Factor?

7 1, 7,

21 1, 3, 7, 21

What is the Highest 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 highest 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

Simplify or Reduce This Fraction

12

2

6

18

3

6

Simplify or Reduce This Fraction

9

3

3

21

7

3

Simplify or Reduce This Fraction

12

3

4

20

5

4

Simplify or Reduce This Fraction

10

2

5

15

3

5

Simplify or Reduce This Fraction

10

5

2

16

8

2

Simplify or Reduce This Fraction

12

3

4

16

4

4

Simplify or Reduce This Fraction

3

1

3

12

4

3

Simplify or Reduce This Fraction

2

1

2

8

4

2

Simplify or Reduce This Fraction

2

1

2

4

2

2

Simplify or Reduce This Fraction

6

2

3

9

3

3

Simplify or Reduce This Fraction

6

3

2

8

4

2