copyright © 2006 by monica yuskaitis 1 by monica yuskaitis, m.a.ed. subtraction mixed numbers 5 th...

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Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers Subtraction Mixed Numbers 5 5 th th Grade Grade

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Page 1: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis1

by Monica Yuskaitis, M.A.Ed.

Subtraction Mixed NumbersSubtraction Mixed Numbers55thth Grade Grade

Page 2: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis2

Objective

• To be able to subtract mixed numbers with regrouping.

Page 3: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis3

Page 4: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis4

To Subtract Mixed Numbers with Regrouping.

1) Regroup by borrowing one from the 5.

55

- 8

4 18

3

Page 5: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis5

To Subtract Mixed Numbers with Regrouping.

2) Change the 1 to 8/8.

55

- 8

4 18

88

3

Page 6: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis6

To Subtract Mixed Numberswith Regrouping.

3) Add the 1/8 plus the 8/8.

55

- 8

4 18

88+ = 9

8

3

Page 7: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis7

To Subtract Mixed Numbers withRegrouping.

4) Subtract the fractions.

55

- 8

4 18

88+ = 9

8

48

3

Page 8: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis8

To Subtract Mixed Numbers with Regrouping.

5) Subtract the whole numbers.

55

- 8

4 18

88+ = 9

8

48

3

1

Page 9: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis9

To Subtract Mixed Numbers with Regrouping.6) Simplify your fraction.

55

- 8

4 18

88+ = 9

8

48

3

1 ÷ 44 = 1

21

Page 10: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis10

Now you can do it!

297

49

679- =

Page 11: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis11

Subtract.

579-

Regroup byborrowing 1from the 5.

439

2

Page 12: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis12

Subtract.

579-

439

2

Changethe 1 to

9/9.

99

Page 13: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis13

Subtract.

579-

439

2

Add 3/9 +9/9.

99+ = 12

9

Page 14: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis14

Subtract.

579-

439

2

Subtract12/9 – 7/9.

99+ = 12

9

59

Page 15: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis15

Subtract.

579-

439

2

Subtract4 – 2.

99+ = 12

9

59

2

Page 16: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis16

Subtract.

645-

Regroup byborrowing 1from the 6.

515

1

Page 17: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis17

Subtract.

645-

515

1

Changethe 1 to

5/5.

55

Page 18: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis18

Subtract.

645-

515

1

Add 1/5 +5/5.

55+ = 6

5

Page 19: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis19

Subtract.

645-

515

1

Subtract6/5 – 4/5.

55+ = 6

5

25

Page 20: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis20

Subtract.

645-

515

1

Subtract5 – 1.

55+ = 6

5

25

4 Answer4 2/5

Page 21: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis21

Objective

• To be able to subtract mixed numbers with unlike denominators with regrouping.

Page 22: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis22

Page 23: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis23

To Subtract Mixed Numbers with Regrouping.

1) Find the LCD or LCM of the denominators.

53

- 4

18

3

8

8

Page 24: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis24

To Subtract Mixed Numbers with Regrouping.

2) Find the equivalent fractions with 8 as a denominator.

53

- 4

18

3

1868

x 1x 1x 2x 2

=

=

Page 25: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis25

To Subtract Mixed Numbers with Regrouping.

3) Regroup by borrowing one from the 5.

53

- 4

4 18

3

1868

=

=

Page 26: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis26

To Subtract Mixed Numbers with Regrouping.

4) Change the 1 to 8/8.

53

- 4

4 18

3

1868

=

=

88

Page 27: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis27

5) Add the 1/8 and 8/8 together.

53

- 4

4 18

3

1868

=

=

88+ = 9

8

To Subtract Mixed Numbers with Regrouping.

Page 28: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis28

To Subtract Mixed Numbers with Regrouping.

6) Subtract the fractions.

53

- 4

4 18

3

1868

=

=

88+ = 9

8

38

Page 29: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis29

To Subtract Mixed Numbers with Regrouping.

7) Subtract the whole numbers.

53

- 4

4 18

3

1868

=

=

88+ = 9

8

38

1

Page 30: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis30

Get your white boards out!

13

79

59- =5 4

Page 31: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis31

Subtract.

523-

Use the shortcut to find theleast commondenominator.

39

29

9

Page 32: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis32

Subtract.

523-

Find theequivalent

fractions with9 as a

denominator.

39

2

1133

x

x 39=69=

Page 33: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis33

Subtract.

523-

Regroup byborrowing 1from the 5.

39

2

1133

x

x 39=69=

4

Page 34: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis34

Subtract.

523-

Change the1 to a fraction

with 9 as a denominator.

39

2

3969

=

= 99

4

Page 35: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis35

Subtract.

523- Add 3/9 + 9/9.

39

2

3969

=

= 99+

4=12

9

Page 36: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis36

Subtract.

523- Subtract 12/9

minus 6/9.

39

2

3969

=

= 99+

4=12

9

69

Page 37: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis37

Subtract.

523- Subtract 4

minus 2.

39

2

3969

=

= 99+

4=12

9

69

2

Page 38: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis38

Subtract.

523-

Simplify yourfraction.

39

2

3969

=

= 99+

4=12

9

69

2 33

÷ = 23

Page 39: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis39

Subtract.

523-

Your answeris 2 2/3.

39

2

3969

=

= 99+

4=12

9

69

2 33

÷ = 23

Page 40: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis40

Copyright Notice• This software is copyrighted. The software

may not be copied, reproduced, translated or reduced to any electronic medium without the prior written consent of Monica Yuskaitis ([email protected]). However, after you purchase it you may download it in your classroom to use for presentation purposes.

Page 41: Copyright © 2006 by Monica Yuskaitis 1 by Monica Yuskaitis, M.A.Ed. Subtraction Mixed Numbers 5 th Grade

Copyright © 2006 by Monica Yuskaitis41

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