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Add and Subtract Fractions. Brigitte Steinmetz Beyond Limits Education. Objectives. To add/subtract fractions that have common denominators. To add/subtract fractions that have uncommon denominators using the least common denominator.

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Add and subtract fractions

Add and SubtractFractions

Brigitte Steinmetz

Beyond Limits Education


Objectives
Objectives

  • To add/subtract fractions that have common denominators.

  • To add/subtract fractions that have uncommon denominators using the least common denominator.

  • To estimate sums and differences with fractions using benchmarks.

  • To identify what information should be written down in Cornell notes.


Add like fractions
Add Like Fractions

  • Using your fraction cubes, make the following fractions:

38

58

+

Now add them together.

1/8

1/8

1/8

1/8

1/8

1/8

1/8

1/8


Add like fractions1
Add Like Fractions

38

58

+

88

1/8

=

1/8

1

1/8

1

1

=

1/8

1/8

1/8

1/8

1/8

1/8


Subtract like fractions
Subtract Like Fractions

  • Using your fraction cubes, make the following fraction:

58

38

-

Now subtract 3 eights.

1/8

1/8

1/8

1/8

1/8


Subtract like fractions1
Subtract Like Fractions

58

38

-

28

1/8

=

1/8

=

14

1/8

1

4

1/8

1/8


Add unlike fractions
Add Unlike Fractions

  • Using your fraction cubes, make the following fractions:

12

14

+

Now add them together.

+

12

14


Add un l ike fractions
Add Unlike Fractions

14

14

14

14

12

24

12

=

24

14

+

34


Subtract unlike fractions
Subtract Unlike Fractions

  • Using your fraction cubes, make the following fraction:

23

12

-

Now subtract 1 half.

16

13

16

-

12

16

13

16


Subtract un l ike fractions
Subtract Unlike Fractions

=

?

16

16

13

16

12

16

13

16


Estimate sums differences
Estimate Sums & Differences

  • Using your fraction cubes number line, estimate the sum of:

38

45

+

1/8

4/8

5/8

6/8

7/8

8/8

2/8

3/8

1/2

0

1

1

2

38

close to


Estimate sums differences1
Estimate Sums & Differences

  • Using your fraction cubes number line, estimate the sum of:

38

45

+

2/5

3/5

1/5

4/5

1/2

0

1

45

close to

1


Estimate sums differences2
Estimate Sums & Differences

  • Using your fraction cubes number line, estimate the sum of:

38

45

+

1

2

1

2

+

=

1

1


Add subtract unlike fractions
Add/Subtract Unlike Fractions

  • To add/subtract unlike fractions you need to rename them as like fractions.

  • Least Common Denominator – is the least common multiple of two or more denominators.


Add unlike fractions1
Add Unlike Fractions

  • Using your fraction cubes, make the following fractions:

23

14

+

Now add them together.

16

13

16

16

13

14

16


Add unlike fractions2
Add Unlike Fractions

23

Multiples of 3: 3, 6, 9, 12

Multiples of 4: 4, 8, 12

14

1/12

16

13

1/12

1/12

16

1/12

1/12

1/12

LCD = 12

16

13

1/12

1/12

14

1/12

1/12

1/12

1/12

16

1/12

1/12

1/12

1/12


Add unlike fractions3
Add Unlike Fractions

23

44

812

=

X

14

33

312

=

X


Add unlike fractions4
Add Unlike Fractions

812

312

+

1112


Subtract unlike fractions1
Subtract Unlike Fractions

  • Using your fraction cubes, make the following fraction:

34

16

-

Now subtract 1 sixth.

14

14

14

16


Subtract unlike fractions2
Subtract Unlike Fractions

34

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

1/12

16

14

1/12

1/12

1/12

14

1/12

1/12

LCD = 12

1/12

1/12

1/12

16

1/12

14

1/12

1/12

1/12

1/12

1/12

1/12


Subtract unlike fractions3
Subtract Unlike Fractions

34

33

912

=

X

16

22

212

=

X



Add mixed fractions
Add Mixed Fractions

  • Using your fraction cubes, make the following fractions:

3

8

14

2

+

1

Now add them together.

1

1

1

1/8

14

1/8

1/8


Add mixed fractions1
Add Mixed Fractions

3

8

2

Multiples of 4: 4, 8

Multiples of 8: 8

14

1

1

1

1

LCD = 8

1/8

14

1/8

1/8

1/8

1/8


Add mixed fractions2
Add Mixed Fractions

11

3

8

3

8

2

2

=

X

22

2

8

14

1

1

=

X


Add mixed fractions3
Add Mixed Fractions

3

8

2

2

8

1

+

5

8

3


Subtract mixed fractions
Subtract Mixed Fractions

  • Using your fraction cubes, make the following fractions:

3

8

14

2

-

1

Now subtract one and one fourth.

1

1

1/8

1/8

1/8


Subtract mixed fractions1
Subtract Mixed Fractions

3

8

2

Multiples of 4: 4, 8

Multiples of 8: 8

14

1

1

1

1

LCD = 8

1/8

14

1/8

1/8

1/8

1/8


Subtract mixed fractions2
Subtract Mixed Fractions

11

3

8

3

8

2

2

=

X

22

2

8

14

1

1

=

X


Subtract mixed fractions3
Subtract Mixed Fractions

3

8

2

1

1

2

8

1

-

1

8

1

1/8

1/8

1/8


Subtract mixed fractions4
Subtract Mixed Fractions

3

8

2

2

8

1

-

1

8

1


Subtract mixed fractions5
Subtract Mixed Fractions

  • Using your fraction cubes, make the following fraction:

3

8

1

2

-

Now subtract one and three eighths.

1

1


Subtract mixed fractions6
Subtract Mixed Fractions

  • In order to do this you must rename one of the two whole numbers.

8

8

1

2

=

1/8

1

1

1

1/8

1/8

1/8

1/8

1/8

1/8

1/8


Subtract mixed fractions7
Subtract Mixed Fractions

  • Now go through the same steps as before to…

3

8

1

2

-

8

8

1

1/8

1

1/8

3

8

1

-

1/8

1/8

1/8

5

8

1/8

1/8

1/8


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