Adding and Subtracting Fractions with the Same Denominators

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14

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+

Read this sum out loud.

Do these fractions have the samedenominator?

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The fractions have the same

denominatorquarters

14

24

+ =??

How do we add these two fractions?

14

24

+ =?4

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

14

24

+=

34

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

14

24

+ =34

Here is our answer!

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One quarter plus two quartersequals three quarters.

quarters

34

=

Let’s try another one!

38

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+

Read this sum out loud.

Do these fractions have the samedenominator?

38

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+

The fractions have the same

denominatoreighths

38

28

+ =??

How do we add these two fractions?

38

28

+ =?8

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

38

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+=

58

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

38

28

+ =58

Here is our answer!

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Three eighths plus two eighthsequals five eighths.

eighths

58

=

Here’s a tricky one!

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Four sevenths plus two sevenths equals six fourteenths.

614

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

=

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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.

47

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+ =??

Who can tell me the answer?

Remember we don’t change the denominator!

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=

Four sevenths plus two seventhsequals six sevenths.

67

The answer must be insevenths because the denominatorstays the same!

+

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

Thinking time starts now !

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=

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The answers.How did you do?

36

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29

59

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79

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+

+

+

+

=

=

=

=

Now let’s try subtraction!

45

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-

Read this sum out loud.

Do these fractions have the samedenominator?

45

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-

The fractions have the same

denominatorfifths

45

25

- =??

How do we subtract one fraction from another?

45

25

- =?5

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

45

25

-=

25

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

45

25

- =25

Here is our answer!

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Four fifths minus two fifthsequals two fifths.

fifths

25

=

Let’s try another one!

67

57

-

Read this sum out loud.

Do these fractions have the samedenominator?

67

57

-

The fractions have the same

denominatorsevenths

67

57

- =??

How do we subtract one fraction from another?

67

57

- =?7

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

67

57

-=

17

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

67

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- =17

Here is our answer!

67

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Six sevenths minus five seventhsequals one seventh.

sevenths

17

=

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

Thinking time starts now !

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14

59

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66

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=

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The answers.How did you do?

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