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Solve simple
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Grade 5 situations involving the addition and subtraction of fractions and
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NS 2.3
mixed numbers (like and unlike denominators of 20 or less), and
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express
answers in,QJHQHUDODEFG
simplest form.
UNDERLYING SKILLS AND CONCEPTS:
find common denominators;
basic facts;
find equivalent fractions
Subtract Mixed Numbers
To subtract mixed numbers with different denominators, first
rename the fractions so that they have a common denominator.
Then subtract the numerators and the whole numbers.
E x am p l E
1
8
Write the fractions with a common
denominator.
●
Multiples of 2: 2, 4, 6, 8
Multiples of 8:
●
8 , 16
# to a denominator of 8.
Rename 61
2
%4
6 1# " 6 1#
2
2%4
2 1# yards. How much ribbon was left?
4
Find 10 ! 2 1# .
4
Rename 10: 10 " 9 4#
4
10 " 9 4#
Subtract.
" 6 4#
8
4
!
2 1# " 2 1#
4
Rename 6 4# .
8
4
7 3#
4
6 4# " 5 8# $ 4#
8
2
Andrea had 10 yards of ribbon. She used
Find 6 1# ! 2 7# .
2
E x am p l E
8
8
" 5 12
#
8
Andrea has 7 3# yards of ribbon left.
4
Subtract.
6 1#
"
5 12
#
! 2 7#
"
2 7#
2
8
8
8
3 5#
8
!9"
10
1
# 24 !2"
3
74!7"
page 198
Chapter 17 – Lesson 3
D – © CSL Associates, Inc. All rights reserved.
a
K
ey Ide
Name
P RAC T I C E
Find each difference.
1. 9 1 2 2
3
62
3
2. 4 3 1 1
27
3. 6 3 3 5
23
4. 9 3 3 2
5 14
3
9
5. 5 1
32
6. 12 3 4 5
7 11
7. 7 1 2 3
4
7
4
8. 14 2 3
13 1
9. 3 1 1 5
6
7
1
6
10. 7 7 3
11. 8 1 2 3
5
5
12. 172 2 4 3
3
8
3
8
6
4
8
10
8
5
5
10
2
4
10
12
4
12
6
8
24
15
3
4
12
8
2
0
5
5
1
168 40
8
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
13. Kendall has a toy car 2 1 inches long. His toy truck is 3 1 inches
4
8
7
in.
8
long. How much longer is the truck than the car?
14. Laura is 9 1 years old. Her little brother is 3 1 years old.
6
2
52
yr
How much older is Laura than her little brother?
Math
Reasoning
3
Number Sense
MR 2.6
15. Find three different mixed numbers with different
denominators that have a sum of 9 3 .
4
1
1
3
Answers will vary. Possible answer: 2 1
3 4 9
6
Chapter 17 – Lesson 3
3
4
4
page 199
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 134
Name
…at home!
P RAC T I C E
Find each difference.
1. 8 1 3 3
4
41
2. 4 1 2 2
1 11
3. 7 1 5 3
8
13
4
7
4. 5 2 1 10
7
3
5. 4 1 2 5
11
5
6. 8 4 1
41
2
5
8. 3 1 1 1
15
9. 5 3 2 1
31
10. 12 5 9 7
23
9
11. 3 1 3
3
2
4
8
3
2
1
7
7. 3 2
8
10
10
8
4
10
5
24
3
5
2
6
10
8
12
10
6
4
6
6
3
8
4
8
5
144 12. 156 5 12 5
6
24
8
13. Wally has a toy plane 3 3 inches long. His boat is 2 3 inches
4
8
long. How much longer is the plane than the boat?
13
in.
8
14. Sharon is 8 1 years old. Her little brother is 2 3 years old.
3
4
How much older is Sharon than her little brother?
Math
Reasoning
Number Sense
7
55 yr
12
MR 2.6
15. Find three different mixed numbers with different
7
denominators that have a sum of 6 .
12
1
1
7
Answers will vary. Possible answer: 1 1
2 3 6 12
3
6
12
page 134
Home Resource and Homework
Chapter 17 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:02 Page 367
Name
P RAC T I C E
Find each difference.
1. 9 1 2 2
3
62
3
2. 4 3 1 1
27
3. 6 3 3 5
23
4. 9 3 3 2
5 14
3
9
5. 5 1
32
6. 12 3 4 5
7 11
7. 7 1 2 3
4
7
4
8. 14 2 3
13 1
9. 3 1 1 5
6
7
1
6
10. 7 7 3
11. 8 1 2 3
5
5
12. 172 2 4 3
3
8
3
8
6
4
8
10
8
5
5
10
2
4
10
12
4
12
6
8
24
15
3
4
12
8
2
0
5
5
1
168 40
8
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
13. Kendall has a toy car 2 1 inches long. His toy truck is 3 1 inches
4
8
7
in.
8
long. How much longer is the truck than the car?
14. Laura is 9 1 years old. Her little brother is 3 1 years old.
6
2
52
yr
How much older is Laura than her little brother?
Math
Reasoning
3
Number Sense
MR 2.6
15. Find three different mixed numbers with different
denominators that have a sum of 9 3 .
4
1
1
3
Answers will vary. Possible answer: 2 1
3 4 9
6
Chapter 17 – Lesson 3
Student Book Page
3
4
4
page 199
Name
…at home!
P RAC T I C E
Find each difference.
1. 8 1 3 3
4
41
2. 4 1 2 2
1 11
3. 7 1 5 3
8
13
4
7
4. 5 2 1 10
7
3
5. 4 1 2 5
11
5
6. 8 4 1
41
2
5
8. 3 1 1 1
15
31
10. 12 5 9 7
4
8
3
2
1
7
7. 3 2
10
9. 5 3 2 1
8
8
4
3
2
9
11. 3 1 3
10
10
5
24
3
5
2
6
10
8
12
10
6
4
6
6
3
8
23
4
8
5
144 12. 156 5 12 5
6
24
8
13. Wally has a toy plane 3 3 inches long. His boat is 2 3 inches
4
8
long. How much longer is the plane than the boat?
13
in.
8
14. Sharon is 8 1 years old. Her little brother is 2 3 years old.
3
4
How much older is Sharon than her little brother?
Math
Reasoning
Number Sense
7
55 yr
12
MR 2.6
15. Find three different mixed numbers with different
7
denominators that have a sum of 6 .
12
1
1
7
Answers will vary. Possible answer: 1 1
2 3 6 12
3
6
12
page 134
Home Resource and Homework
Chapter 17 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.