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Did you know that you can add improper fractions?
53

Adding and Subtracting Improper Fractions

Apr 24, 2015

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Page 1: Adding and Subtracting Improper Fractions

Did you know that you can add improper fractions?

Page 2: Adding and Subtracting Improper Fractions

34

34

+

To do it is the same as normal.Read this sum out loud.

Do these fractions have the samedenominator?

Page 3: Adding and Subtracting Improper Fractions

34

34

+

The fractions have the same

denominatorquarters

Page 4: Adding and Subtracting Improper Fractions

34

34

+ =??

How do we add these two fractions?

Page 5: Adding and Subtracting Improper Fractions

34

34

+ =?4

Because both denominators are the same,we do not change it, so it must be quarters.

Page 6: Adding and Subtracting Improper Fractions

34

34

+=

64

Now we add the numerators. 3 + 3 = 6.

Page 7: Adding and Subtracting Improper Fractions

34

34

+ =64

Here is our answer!

Page 8: Adding and Subtracting Improper Fractions

34

34

+

Three quarters plus three quartersequals six quarters.

quarters

64

=

Page 9: Adding and Subtracting Improper Fractions

How do we show this?

Three quarters plus three quartersequals six quarters.

Page 10: Adding and Subtracting Improper Fractions

34

34

+64

=

Page 11: Adding and Subtracting Improper Fractions

Let’s try another one!

Page 12: Adding and Subtracting Improper Fractions

76

26

+

Read this sum out loud.

Do these fractions have the samedenominator?

Page 13: Adding and Subtracting Improper Fractions

76

26

+

The fractions have the same

denominatorsixths

Page 14: Adding and Subtracting Improper Fractions

76

26

+ =??

How do we add these two fractions?

Page 15: Adding and Subtracting Improper Fractions

76

26

+ =?6

Because both denominators are the same,we do not change it, so it must be sixths.

Page 16: Adding and Subtracting Improper Fractions

76

26

+=

96

Now we add the numerators. 7 + 2 = 9.

Page 17: Adding and Subtracting Improper Fractions

76

26

+ =96

Here is our answer!

Page 18: Adding and Subtracting Improper Fractions

76

26

+

Seven sixths plus two sixthsequals nine sixths.

sixths

96

=

Page 19: Adding and Subtracting Improper Fractions

How do we show this?

Seven sixths plus two sixthsequals nine sixths.

Page 20: Adding and Subtracting Improper Fractions

76

26

+96

=

Page 21: Adding and Subtracting Improper Fractions

One last examplefor addition!

Page 22: Adding and Subtracting Improper Fractions

86

96

+

Read this sum out loud.

Do these fractions have the samedenominator?

Page 23: Adding and Subtracting Improper Fractions

86

96

+

The fractions have the same

denominatorsixths

Page 24: Adding and Subtracting Improper Fractions

86

96

+ =??

How do we add these two fractions?

Page 25: Adding and Subtracting Improper Fractions

86

96

+ =?6

Because both denominators are the same,we do not change it, so it must be sixths.

Page 26: Adding and Subtracting Improper Fractions

86

96

+=17 6

Now we add the numerators. 8 + 9 = 17.

Page 27: Adding and Subtracting Improper Fractions

86

96

+ =17 6

Here is our answer!

Page 28: Adding and Subtracting Improper Fractions

86

96

+

Eight sixths plus nine sixthsequals seventeen sixths.

sixths

17 6

=

Page 29: Adding and Subtracting Improper Fractions

How do we show this?

Eight sixths plus nine sixthsequals seventeen sixths.

Page 30: Adding and Subtracting Improper Fractions

86

96

+17 6

=

Page 31: Adding and Subtracting Improper Fractions

Now it’s time for you to try some.You can discuss these with a friend.

Thinking time starts now !

36

86

59

59

47

47

58

78

??

??

??

??

+

+

+

+

=

=

=

=

Page 32: Adding and Subtracting Improper Fractions

36

86

59

59

47

47

58

78

11 6

10 9

12 8

+

+

+

+

=

=

=

=

The answers.How did you do?

8 7

Page 33: Adding and Subtracting Improper Fractions

Did you know that you can also subtract improper fractions?

Page 34: Adding and Subtracting Improper Fractions

16 4

64

-

To do it is the same as normal.Read this sum out loud.

Do these fractions have the samedenominator?

Page 35: Adding and Subtracting Improper Fractions

16 4

64

-

The fractions have the same

denominatorquarters

Page 36: Adding and Subtracting Improper Fractions

16 4

64

- =??

How do we subtract these two fractions?

Page 37: Adding and Subtracting Improper Fractions

16 4

64

- =?4

Because both denominators are the same,we do not change it, so it must be quarters.

Page 38: Adding and Subtracting Improper Fractions

16 4

64

-=10 4

Now we subtract the second numeratorfrom the first numerator. 16 - 6 = 10.

Page 39: Adding and Subtracting Improper Fractions

16 4

64

- =10 4

Here is our answer!

Page 40: Adding and Subtracting Improper Fractions

16 4

64

-

Sixteen quarters minus sixquarters equals ten quarters.

quarters

10 4

=

Page 41: Adding and Subtracting Improper Fractions

How do we show this?

Sixteen quarters minus sixquarters equals ten quarters.

Page 42: Adding and Subtracting Improper Fractions

16 4

64

-10 4

=

Page 43: Adding and Subtracting Improper Fractions

16 4

64

-

To do it is the same as normal.Read this sum out loud.

Do these fractions have the samedenominator?

Page 44: Adding and Subtracting Improper Fractions

8 6

16

-

The fractions have the same

denominatorsixths

Page 45: Adding and Subtracting Improper Fractions

8 6

16

- =??

How do we subtract these two fractions?

Page 46: Adding and Subtracting Improper Fractions

8 6

16

- =?6

Because both denominators are the same,we do not change it, so it must be sixths.

Page 47: Adding and Subtracting Improper Fractions

8 6

16

-= 7 6

Now we subtract the second numeratorfrom the first numerator. 8 - 1 = 7.

Page 48: Adding and Subtracting Improper Fractions

8 6

16

- = 7 6

Here is our answer!

Page 49: Adding and Subtracting Improper Fractions

8 6

16

-

Eight sixths minus onesixth equals seven sixths.

sixths

7 6

=

Page 50: Adding and Subtracting Improper Fractions

How do we show this?

Eight sixths minus onesixth equals seven sixths.

Page 51: Adding and Subtracting Improper Fractions

8 6

16

- 7 6

=

Page 52: Adding and Subtracting Improper Fractions

Now it’s time for you to try some.You can discuss these with a friend.

Thinking time starts now !

13 6

56

15 9

19

19 7

87

12 8

98

??

??

??

??

-

-

-

-

=

=

=

=

Page 53: Adding and Subtracting Improper Fractions

13 6

56

15 9

19

19 7

87

12 8

98

86

11 7

14 9

38

-

-

-

-

=

=

=

=

The answers.How did you do?