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Grade 5
NS 2.3
Solve simple problems, including ones arising in concrete
situations involving the addition and subtraction of fractions and
mixed numbers (like and unlike denominators of 20 or less), and
express answers in simplest form.
UNDERLYING SKILLS AND CONCEPTS:
find common denominators;
basic facts;
find equivalent fractions
Add Mixed Numbers
To add mixed numbers with different denominators, first rename
the fractions so that they have a common denominator. Then add
the numerators. Then add the whole numbers.
E x am p l E
1
Find 2 3 5 5 .
4
2
Multiples of 4:
Multiples of 6:
●
12
6, ●
4, 8, 12
9
3
2 3 2 3
2
43
12
2
5 5 5 5
5 10
62
6
12
dance class and then 2 3 hours
4
studying.
How much time does she spend on
these two activities?
Find 1 1 2 3 .
2
7 19
12
4
Multiples of 2:
Multiples of 4:
2
1 1 1 1
2 3 2 4
22
2
2 3
4
3 5
4
4
7 19 7 12
3 1 1 4 1
4
4
Tara spends 4 1 hours on these
4
two activities.
Then simplify the answer.
page 188
1 2
4
3 5 12
●
4, 8
●
2, 4
2 3
4
5 5 5 6
7 19
2
After school Tara spends 1 1 hours at
6
4
E x am p l E
7
7
7 1
8
12
12
Chapter 16 – Lesson 4
D – © CSL Associates, Inc. All rights reserved.
a
K
ey Ide
Name
P RAC T I C E
Find each sum.
1. 2 2 3 3
8
1
6
2. 4 1 1 5
8
61
8
7. 5 2 3 5 2 5
9
1
12 3. 3 3 2 5
6
7
6
8. 1 3 6 1 4 7
13 1
4. 2 7 2 2
3
5 13
9. 3 1 1 2 1
57
5. 1 5 3 5
5 11
7
10. 2 2 5 1 81
3
2
4
8
6
24
5
6
4
24
4
24
6
2
10
3
12
8
11 1
7
6. 4 4 6 2
2
18
8
8
8
8
4
6
12
Solve each problem.
11. Camden rode his bike 2 5 miles to the park and then 3 2 miles
D – © CSL Associates, Inc. All rights reserved.
8
3
7
6
mi
to the library. How far did he ride his bike?
24
12. Lindy spent 2 1 hours ice skating, 3 hour cleaning her room,
2
4
and 3 1 hours at the mall. What was the total amount of time
4
that she spent on these three activities?
Math
Reasoning
61
hr
Estimation
2
MR 3.2
13. Estimate the sum of 3 4 2 3 by rounding each addend
5
4
to the nearest whole number. Show your work.
4 rounds to 4, 23 rounds to 3; 4 3 7
7; 3
5
4
(
Chapter 16 – Lesson 4
page 189
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 128
Name
…at home!
P RAC T I C E
Find each sum.
7
1. 2 4 3 61
6. 4 4 6 3
1
11 2. 4 5 1 5
8
6 11
24
7. 5 1 3 5 2 4
11 11
3. 3 7 2 2
6
5
6
8. 1 1 6 1 4 7
12 5
4. 2 3 2 5
6
7
5
9. 3 1 1 2 3
63
5. 1 1 3 5
51
5
10. 2 5 5 1 1
8
5
2
10
6
8
4
2
6
3
24
12
2
18
9
2
6
8
8
6
4
8
24
8
8
8
8
4
4
2
12
Solve each problem.
11. Marion rode her bike 1 3 miles to the library and then 2 2 miles
3
5
4
mi
to the park. How far did she ride her bike?
12
12. Pere spent 2 1 hours at volleyball practice, 3 hour practicing piano,
4
4
and 3 1 hours at a friend’s house. What was the total amount of time
2
that he spent on these three activities?
Math
Reasoning
Estimation
61
hr
2
MR 3.2
13. Estimate the sum of 2 5 4 7 by rounding each addend
6
8
to the nearest whole number. Show your work.
5
8; 2
rounds to 3, 47
rounds to 5; 3 5 8
6
page 128
8
Home Resource and Homework
Chapter 16 Lesson 4
D – © CSL Associates, Inc. All rights reserved.
4
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:02 Page 349
Name
P RAC T I C E
Find each sum.
1. 2 2 3 3
8
1
6
2. 4 1 1 5
8
61
8
7. 5 2 3 5 2 5
9
1
12 3. 3 3 2 5
6
7
6
8. 1 3 6 1 4 7
13 1
4. 2 7 2 2
3
5 13
9. 3 1 1 2 1
57
5. 1 5 3 5
5 11
7
10. 2 2 5 1 81
3
2
4
8
6
5
6
4
24
4
24
6
2
10
3
12
8
11 1
7
6. 4 4 6 24
2
2
18
8
8
8
8
4
6
12
Solve each problem.
11. Camden rode his bike 2 5 miles to the park and then 3 2 miles
D – © CSL Associates, Inc. All rights reserved.
8
3
7
6
mi
to the library. How far did he ride his bike?
24
12. Lindy spent 2 1 hours ice skating, 3 hour cleaning her room,
2
4
and 3 1 hours at the mall. What was the total amount of time
4
that she spent on these three activities?
Math
Reasoning
61
hr
Estimation
2
MR 3.2
13. Estimate the sum of 3 4 2 3 by rounding each addend
5
4
to the nearest whole number. Show your work.
4 rounds to 4, 23 rounds to 3; 4 3 7
7; 3
5
4
(
Chapter 16 – Lesson 4
Student Book Page
page 189
Name
…at home!
P RAC T I C E
Find each sum.
7
1. 2 4 3 61
2. 4 5 1 5
8
6 11
24
7. 5 1 3 5 2 4
11 11
3. 3 7 2 2
6
5
6
8. 1 1 6 1 4 7
12 5
4. 2 3 2 5
6
7
5
9. 3 1 1 2 3
63
5. 1 1 3 5
51
5
10. 2 5 5 1 1
8
5
2
10
6
8
4
2
6
6
4
12
8
2
18
9
2
6
8
24
8
3
24
8
1
11 6. 4 4 6 3
8
8
8
4
4
2
12
Solve each problem.
11. Marion rode her bike 1 3 miles to the library and then 2 2 miles
3
5
4
mi
to the park. How far did she ride her bike?
12
12. Pere spent 2 1 hours at volleyball practice, 3 hour practicing piano,
4
4
and 3 1 hours at a friend’s house. What was the total amount of time
2
that he spent on these three activities?
Math
Reasoning
Estimation
61
hr
2
MR 3.2
13. Estimate the sum of 2 5 4 7 by rounding each addend
6
8
to the nearest whole number. Show your work.
5
8; 2
rounds to 3, 47
rounds to 5; 3 5 8
6
page 128
8
Home Resource and Homework
Chapter 16 Lesson 4
D – © CSL Associates, Inc. All rights reserved.
4