Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 1 : Common denominator

7

5

7

32

7

3

7

2

When denominators are the same, add your numerators, keep the same denominator…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 1 : Common denominator

7

5

7

32

7

3

7

2

When denominators are the same, add your numerators, keep the same denominator…

EXAMPEL # 2 : Common denominator

9

6

9

24

9

2

9

4

When denominators are the same, add your numerators, keep the same denominator…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 1 : Common denominator

7

5

7

32

7

3

7

2

When denominators are the same, add your numerators, keep the same denominator…

EXAMPEL # 2 : Common denominator

9

6

9

24

9

2

9

4

When denominators are the same, add your numerators, keep the same denominator…

3

2

39

36

9

6

Reduce your answer to lowest terms when possible…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 3 : Different denominators

3

1

2

1

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 3 : Different denominators

3

1

2

1

Factors of 2 2 , 4 , 6 , 8 , 10…

Factors of 3 3 , 6 , 9 , 12 , 15,…

Common factor = 6

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 3 : Different denominators

6

2

6

3

3

1

2

1

Factors of 2 2 , 4 , 6 , 8 , 10…

Factors of 3 3 , 6 , 9 , 12 , 15,…

Common factor = 6

6

2

23

21

6

3

32

31

Find equivalent

fractions…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 3 : Different denominators

6

5

6

23

6

2

6

3

3

1

2

1

Factors of 2 2 , 4 , 6 , 8 , 10…

Factors of 3 3 , 6 , 9 , 12 , 15,…

Common factor = 6

6

2

23

21

6

3

32

31

Find equivalent

fractions…

Add the numerators, keep your denominator…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 4 : Different denominators

16

9

8

3

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 4 : Different denominators

16

9

8

3

Factors of 8 8 , 16 , 24 , 32…

Factors of 16 16, 32 , 48…

Common factor = 16

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 4 : Different denominators

16

96

16

9

16

6

16

9

8

3

Factors of 8 8 , 16 , 24 , 32…

Factors of 16 16, 32 , 48…

Common factor = 16

16

6

28

23

Only one equivalent

fraction needed…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 4 : Different denominators

16

15

16

9

16

6

16

9

8

3

Factors of 8 8 , 16 , 24 , 32…

Factors of 16 16, 32 , 48…

Common factor = 16

16

6

28

23

Only one equivalent

fraction needed…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 5 : Different denominators

20

11

10

7

5

1

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 5 : Different denominators

20

11

10

7

5

1

Factors of 5 5 ,10, 15 , 20 , 25 , 30…

Factors of 10 10 , 20 , 30 , 40…

Factors of 20 20 , 40 , 60,…

Common factor = 20

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 5 : Different denominators

20

11

20

14

20

4

20

11

10

7

5

1

Factors of 5 5 ,10, 15 , 20 , 25 , 30…

Factors of 10 10 , 20 , 30 , 40…

Factors of 20 20 , 40 , 60,…

Common factor = 20

20

14

210

27

20

4

45

41

Only two equivalent

fractions needed…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 5 : Different denominators

20

11144

20

11

20

14

20

4

20

11

10

7

5

1

Factors of 5 5 ,10, 15 , 20 , 25 , 30…

Factors of 10 10 , 20 , 30 , 40…

Factors of 20 20 , 40 , 60,…

Common factor = 20

20

14

210

27

20

4

45

41

Only two equivalent

fractions needed…

Fractions – Adding Fractions

When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.

EXAMPLE # 5 : Different denominators

Factors of 5 5 ,10, 15 , 20 , 25 , 30…

Factors of 10 10 , 20 , 30 , 40…

Factors of 20 20 , 40 , 60,…

Common factor = 20

20

14

210

27

20

4

45

41

Only two equivalent

fractions needed…

Reduce the improper fraction to a mixed number…

20

91

20

29

20

11144

20

11

20

14

20

4

20

11

10

7

5

1