Post on 17-Dec-2015
Copyright © 2006 by Monica Yuskaitis1
by Monica Yuskaitis, M.A.Ed.
Subtraction Mixed NumbersSubtraction Mixed Numbers55thth Grade Grade
Copyright © 2006 by Monica Yuskaitis2
Objective
• To be able to subtract mixed numbers with regrouping.
Copyright © 2006 by Monica Yuskaitis3
Copyright © 2006 by Monica Yuskaitis4
To Subtract Mixed Numbers with Regrouping.
1) Regroup by borrowing one from the 5.
55
- 8
4 18
3
Copyright © 2006 by Monica Yuskaitis5
To Subtract Mixed Numbers with Regrouping.
2) Change the 1 to 8/8.
55
- 8
4 18
88
3
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
Copyright © 2006 by Monica Yuskaitis7
To Subtract Mixed Numbers withRegrouping.
4) Subtract the fractions.
55
- 8
4 18
88+ = 9
8
48
3
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
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
Copyright © 2006 by Monica Yuskaitis10
Now you can do it!
297
49
679- =
Copyright © 2006 by Monica Yuskaitis11
Subtract.
579-
Regroup byborrowing 1from the 5.
439
2
Copyright © 2006 by Monica Yuskaitis12
Subtract.
579-
439
2
Changethe 1 to
9/9.
99
Copyright © 2006 by Monica Yuskaitis13
Subtract.
579-
439
2
Add 3/9 +9/9.
99+ = 12
9
Copyright © 2006 by Monica Yuskaitis14
Subtract.
579-
439
2
Subtract12/9 – 7/9.
99+ = 12
9
59
Copyright © 2006 by Monica Yuskaitis15
Subtract.
579-
439
2
Subtract4 – 2.
99+ = 12
9
59
2
Copyright © 2006 by Monica Yuskaitis16
Subtract.
645-
Regroup byborrowing 1from the 6.
515
1
Copyright © 2006 by Monica Yuskaitis17
Subtract.
645-
515
1
Changethe 1 to
5/5.
55
Copyright © 2006 by Monica Yuskaitis18
Subtract.
645-
515
1
Add 1/5 +5/5.
55+ = 6
5
Copyright © 2006 by Monica Yuskaitis19
Subtract.
645-
515
1
Subtract6/5 – 4/5.
55+ = 6
5
25
Copyright © 2006 by Monica Yuskaitis20
Subtract.
645-
515
1
Subtract5 – 1.
55+ = 6
5
25
4 Answer4 2/5
Copyright © 2006 by Monica Yuskaitis21
Objective
• To be able to subtract mixed numbers with unlike denominators with regrouping.
Copyright © 2006 by Monica Yuskaitis22
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
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
=
=
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
=
=
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
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.
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
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
Copyright © 2006 by Monica Yuskaitis30
Get your white boards out!
13
79
59- =5 4
Copyright © 2006 by Monica Yuskaitis31
Subtract.
523-
Use the shortcut to find theleast commondenominator.
39
29
9
Copyright © 2006 by Monica Yuskaitis32
Subtract.
523-
Find theequivalent
fractions with9 as a
denominator.
39
2
1133
x
x 39=69=
Copyright © 2006 by Monica Yuskaitis33
Subtract.
523-
Regroup byborrowing 1from the 5.
39
2
1133
x
x 39=69=
4
Copyright © 2006 by Monica Yuskaitis34
Subtract.
523-
Change the1 to a fraction
with 9 as a denominator.
39
2
3969
=
= 99
4
Copyright © 2006 by Monica Yuskaitis35
Subtract.
523- Add 3/9 + 9/9.
39
2
3969
=
= 99+
4=12
9
Copyright © 2006 by Monica Yuskaitis36
Subtract.
523- Subtract 12/9
minus 6/9.
39
2
3969
=
= 99+
4=12
9
69
Copyright © 2006 by Monica Yuskaitis37
Subtract.
523- Subtract 4
minus 2.
39
2
3969
=
= 99+
4=12
9
69
2
Copyright © 2006 by Monica Yuskaitis38
Subtract.
523-
Simplify yourfraction.
39
2
3969
=
= 99+
4=12
9
69
2 33
÷ = 23
Copyright © 2006 by Monica Yuskaitis39
Subtract.
523-
Your answeris 2 2/3.
39
2
3969
=
= 99+
4=12
9
69
2 33
÷ = 23
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 (monismath@juno.com). However, after you purchase it you may download it in your classroom to use for presentation purposes.
Copyright © 2006 by Monica Yuskaitis41
CreditsClipart from clipart.com
Written by Monica Yuskaitis
For Further Information
About this product or other Monica’s Math presentations
Contact: Contact: monismath@juno.com