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1 4 2 4 + Read this sum out loud. Do these fractions have the sam denominator?

Adding and Subtracting Fractions with the Same Denominators

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Page 1: Adding and Subtracting Fractions with the Same Denominators

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+

Read this sum out loud.

Do these fractions have the samedenominator?

Page 2: Adding and Subtracting Fractions with the Same Denominators

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The fractions have the same

denominatorquarters

Page 3: Adding and Subtracting Fractions with the Same Denominators

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+ =??

How do we add these two fractions?

Page 4: Adding and Subtracting Fractions with the Same Denominators

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+ =?4

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

Page 5: Adding and Subtracting Fractions with the Same Denominators

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+=

34

Now we add the numerators. 1 + 2 = 3.

Page 6: Adding and Subtracting Fractions with the Same Denominators

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+ =34

Here is our answer!

Page 7: Adding and Subtracting Fractions with the Same Denominators

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One quarter plus two quartersequals three quarters.

quarters

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=

Page 8: Adding and Subtracting Fractions with the Same Denominators

Let’s try another one!

Page 9: Adding and Subtracting Fractions with the Same Denominators

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Read this sum out loud.

Do these fractions have the samedenominator?

Page 10: Adding and Subtracting Fractions with the Same Denominators

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The fractions have the same

denominatoreighths

Page 11: Adding and Subtracting Fractions with the Same Denominators

38

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+ =??

How do we add these two fractions?

Page 12: Adding and Subtracting Fractions with the Same Denominators

38

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+ =?8

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

Page 13: Adding and Subtracting Fractions with the Same Denominators

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+=

58

Now we add the numerators. 3 + 2 = 5.

Page 14: Adding and Subtracting Fractions with the Same Denominators

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+ =58

Here is our answer!

Page 15: Adding and Subtracting Fractions with the Same Denominators

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Three eighths plus two eighthsequals five eighths.

eighths

58

=

Page 16: Adding and Subtracting Fractions with the Same Denominators

Here’s a tricky one!

Page 17: Adding and Subtracting Fractions with the Same Denominators

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Four sevenths plus two sevenths equals six fourteenths.

614

Is this correct ?Who can explain why it’s wrong ?

=

Page 18: Adding and Subtracting Fractions with the Same Denominators

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It’s wrong because both of thedenominators are sevenths.

614

So the answer must bein sevenths because wedon‘t change the denominator.

Page 19: Adding and Subtracting Fractions with the Same Denominators

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+ =??

Who can tell me the answer?

Remember we don’t change the denominator!

Page 20: Adding and Subtracting Fractions with the Same Denominators

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=

Four sevenths plus two seventhsequals six sevenths.

67

The answer must be insevenths because the denominatorstays the same!

+

Page 21: Adding and Subtracting Fractions with the Same Denominators

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

Thinking time starts now !

36

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59

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48

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??

??

??

??

+

+

+

+

=

=

=

=

Page 22: Adding and Subtracting Fractions with the Same Denominators

The answers.How did you do?

36

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17

48

38

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57

79

78

+

+

+

+

=

=

=

=

Page 23: Adding and Subtracting Fractions with the Same Denominators

Now let’s try subtraction!

Page 24: Adding and Subtracting Fractions with the Same Denominators

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-

Read this sum out loud.

Do these fractions have the samedenominator?

Page 25: Adding and Subtracting Fractions with the Same Denominators

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-

The fractions have the same

denominatorfifths

Page 26: Adding and Subtracting Fractions with the Same Denominators

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- =??

How do we subtract one fraction from another?

Page 27: Adding and Subtracting Fractions with the Same Denominators

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- =?5

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

Page 28: Adding and Subtracting Fractions with the Same Denominators

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-=

25

Now we subtract the second numerator from the first numerator. 4 – 2 = 2.

Page 29: Adding and Subtracting Fractions with the Same Denominators

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- =25

Here is our answer!

Page 30: Adding and Subtracting Fractions with the Same Denominators

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Four fifths minus two fifthsequals two fifths.

fifths

25

=

Page 31: Adding and Subtracting Fractions with the Same Denominators

Let’s try another one!

Page 32: Adding and Subtracting Fractions with the Same Denominators

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-

Read this sum out loud.

Do these fractions have the samedenominator?

Page 33: Adding and Subtracting Fractions with the Same Denominators

67

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-

The fractions have the same

denominatorsevenths

Page 34: Adding and Subtracting Fractions with the Same Denominators

67

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- =??

How do we subtract one fraction from another?

Page 35: Adding and Subtracting Fractions with the Same Denominators

67

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- =?7

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

Page 36: Adding and Subtracting Fractions with the Same Denominators

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-=

17

Now we subtract the second numerator from the first numerator. 6 – 5 = 1.

Page 37: Adding and Subtracting Fractions with the Same Denominators

67

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- =17

Here is our answer!

Page 38: Adding and Subtracting Fractions with the Same Denominators

67

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-

Six sevenths minus five seventhsequals one seventh.

sevenths

17

=

Page 39: Adding and Subtracting Fractions with the Same Denominators

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

Thinking time starts now !

38

18

24

14

59

29

66

26

??

??

??

??

-

-

-

-

=

=

=

=

Page 40: Adding and Subtracting Fractions with the Same Denominators

38

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14

59

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66

26

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39

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-

-

-

-

=

=

=

=

The answers.How did you do?