Download Lesson 6.1 Adding Fractions

Date:
P
H A TE
6
R
C
Name:
Fractions and Mixed Numbers
Lesson 6.1
Adding Fractions
Find the equivalent fraction. Complete the model and add
the fractions.
1.
2
1
__
_
_
3
9
3
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2
3
1
9
3
2.
?
1
1
__
_
_
6
2
3
1
2
1
6
3
?
Extra Practice 4A
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3.
1
2
_
_ _
_
10
5
4.
2
2
_
__
_
12
3
5.
1
1
_
Add _
and
4
12 .
6.
1
Add _
4 to your answer in Exercise 5.
7.
1
1
_
and
Add _
6.
3
8.
1
Add _
6 to your answer in Exercise 7.
9.
1 _
1
2
_
,
,
and
What is the sum of _
4?
8 4
10.
3
1 _
4
_
,
,
and
What is the sum of _
6 18
9?
96
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Add. Write each answer in simplest form.
Chapter 6 Lesson 6.1
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Lesson 6.2
Subtracting Fractions
Find the equivalent fraction. Complete the model. Then subtract.
1.
1
5
_ _
_
_
2
6
5
6
3
1
2
?
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3
2.
1
7
_
_ _
_
3
12
7
12
4
1
3
?
4
Extra Practice 4A
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Subtract. Write each answer in simplest form.
5
3
_
_ _
_
12 4
4.
3
4
_
_ _
_
10 5
5.
7
1
_
1_
4 12
7.
5
1
_
from
Subtract _
6.
3
9.
3
7
_
and
The difference between _
5 is
10
10.
7
The difference between 1 and _
8 is
98
6.
6
4
1_
_
16 8
8.
5
11
_
Subtract _
from
6
12 .
.
.
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3.
Chapter 6 Lesson 6.2
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Lesson 6.3
Mixed Numbers
Write a mixed number for each model.
1.
5
1⫹_
6⫽
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2.
3
3⫹_
⫽
8
3.
4
2⫹_
⫽
7
4.
7
5⫹_
9⫽
Extra Practice 4A
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Write a mixed number for each model.
5.
wholes and
fourths is
.
wholes and
sixths is
.
wholes and
thirds is
.
7.
100
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6.
Chapter 6 Lesson 6.3
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Date:
Write a mixed number for each of the following.
2L
1L
8.
The volume of water in the container is
9.
The weight of five oranges is
liters.
pounds.
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Write each answer as a mixed number.
10.
3
2_
5
11.
5
_
4 8
12.
4
3_
9
13.
7
5_
12 14.
1
_
62
15.
3
_
4
10
Simplify.
16.
6
2_
8
17.
4
1_
10 18.
3
4_
9
19.
9
3_
12 Extra Practice 4A
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Write the correct fraction or mixed number in each box.
Express each answer in simplest form.
20.
0
1
5
3
5
4
5
1
12
5
13
5
2
1 11 12 13 14 15
8 8 8 8 8
17 2
8
21
5
22
5
24
5
3
21.
5 6
8 8
22 23 24 25
8 8 8 8
27 3
8
22.
3
4
5
6
7
8
5
6
7
8
9
23.
4
102
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0 1 2 3
8 8 8
Chapter 6 Lesson 6.3
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Lesson 6.4
Improper Fractions
Write each mixed number as an improper fraction.
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1.
a.
1
b.
c.
3
_
7
3
1_
7
d.
a.
2
eighths
b.
eighths
c.
3
_
8
3
2_
8
d.
sevenths
sevenths
sevenths
2.
eighths
Extra Practice 4A
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3.
a.
3
thirds
b.
thirds
c.
2
_
3
2
3_
3
d.
thirds
Write the improper fractions for the shaded parts.
3
1_
5
5.
2
4_
3
6.
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4.
1
6_
2
104
Chapter 6 Lesson 6.4
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Write a mixed number and an improper fraction for each model.
7.
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
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8.
9.
10.
Extra Practice 4A
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Date:
11.
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
12.
14.
106
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13.
Chapter 6 Lesson 6.4
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Write the missing improper fraction in each box.
Express each answer in simplest form.
15.
1
5
4
2
6
4
3
10
4
16.
4
3
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1
2
3
17.
9
7
1
10
7
11
7
13
7
2
15
7
16
7
18
7
19
7
20
7
3
18.
3
19
6
20
6
21
6
23
6
4
25
6
27
6
28
6
Extra Practice 4A
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107
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19.
2
19 20 21
8 8 8
17
8
23
8
3
25 26 27 28 29
8 8 8 8 8
31
8
4
20.
4
22
5
23
5
24
5
5
27
5
28
5
6
38
10
4
44
10
46
10
5
3
32
10
34
10
22.
1
108
20
15
25
15
2
40
15
3
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21.
Chapter 6 Lesson 6.4
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Lesson 6.5
Renaming Improper Fractions
and Mixed Numbers
Express each improper fraction as a mixed number.
1.
10
1
11
_
_
_
2 2
2
2.
5 _
6_
3
5_
2
6_
3
2
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3.
5.
20
18
2
_
_
_
3 3 3
13
_
_
_
4 4
4
4.
23
_
_
_
5 5
5
3_
4
4_
5
3_
4
4_
5
27
__
_
10
10
10
_
10
6.
26
__
_
7
7
7
_
7
Extra Practice 4A
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Express each improper fraction as a mixed number in simplest form.
16
_
⫽2⫹_
6
6
8.
⫽
20
_
_
8 ⫽2⫹ 8
⫽
9.
15
_
⫽
2
10.
18
_
10 ⫽
11.
21
_
⫽
9
12.
15
_
12 ⫽
13.
22
_
⫽
7
14.
36
_
6 ⫽
15.
30
_
⫽
4
16.
42
_
5 ⫽
17.
28
_
⫽
13
18.
48
_
15 ⫽
110
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7.
Chapter 6 Lesson 6.5
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Express each mixed number as an improper fraction.
19.
21.
2
2
_
3_
⫽
3
⫹
3
3
20.
2
_
⫽_
⫹
3
3
1
_
⫽_
⫹
4
4
⫽_
3
⫽_
4
3
3
_
_
2_
5⫽ 5 ⫹5
22.
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⫽_
5
23.
1
1
_
1_
⫽
1
⫹
4
4
4
_
_
2_
7⫽ 7 ⫹ 7
⫽_
9
5
5
_
_
2_
6⫽ 6 ⫹6
⫽_
6
24.
2
_
_
2_
9⫽ 9 ⫹ 9
⫽_
9
Extra Practice 4A
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25.
1
4_
3
26.
3
2_
10 27.
2
1_
7
28.
5
1_
9
29.
1
2_
4
30.
5
2_
12 31.
3
1_
10 32.
2
1_
11 33.
4
5_
5
34.
8
3_
9
35.
1
6_
5
36.
2
7_
7
112
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Express each mixed number as an improper fraction.
Chapter 6 Lesson 6.5
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Date:
Lesson 6.6
Renaming Whole Numbers when
Adding and Subtracting Fractions
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Add. Express each answer as a mixed number in simplest form.
1.
2
5
_
⫹_
3⫽
9
2.
3 _
11
_
4 ⫹ 12 ⫽
3.
7
1
_
⫹_
8⫽
2
4.
1
2
_
_
6⫹3⫽
5.
4
7
_
_
⫹
5⫽
10
6.
5
2
_
_
⫹
12
3⫽
7.
7
5
_
_
⫹
12 ⫽
6
8.
3
6
_
_
⫹
4⫽
8
9.
1
2
5
_
_
⫹_
2⫹3⫽
12
10.
3
3
1
_
_
_
2⫹8⫹4⫽
Extra Practice 4A
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11.
7
3⫺_
12 ⫽
12.
8
4⫺_
9⫽
13.
4
2⫺_
5⫽
14.
2
5⫺_
3⫽
15.
1
1
_
3⫺_
6⫺3⫽
16.
1
1
_
4⫺_
4⫺2⫽
17.
3
2
_
⫺
6⫺_
5
10 ⫽
18.
5
2
_
3⫺_
⫺
7
14 ⫽
19.
5
1
_
2⫺_
12 ⫺ 6 ⫽
20.
2
2
_
5⫺_
3⫺9⫽
114
Chapter 6 Lesson 6.6
MS_Extra Practice_4A_Ch06_95-122.indd 114
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Subtract. Express each answer as a mixed number in simplest form.
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Lesson 6.7
Date:
Fraction of a Set
What fraction of each set of objects is shaded? Express your answer
in simplest form.
1.
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2.
3.
4.
Extra Practice 4A
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Date:
Use a model to help you answer each question.
Example
3
What is _
4 of 24?
24
4 units ⫽ 24
1 unit ⫽ 6
3 units ⫽ 6 ⫻ 3 ⫽ 18
?
3
So, _
4 of 24 ⫽ 18.
4
What is _
5 of 30?
5.
5 units ⫽
30
4 units ⫽
?
4
So, _
5 of 30 ⫽
6.
.
5
What is _
6 of 48?
7.
5
What is _
12 of 60?
2
_
⫻ 45
3
2
_
of 45 is
3
9.
4
_
9 ⫻ 36
4
_
9 of 36 is
Solve.
8.
10.
116
2
_
⫻ 35
7
.
11.
3
_
⫻ 32
8
.
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1 unit ⫽
Chapter 6 Lesson 6.7
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Lesson 6.8 Real-World Problems: Fractions
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Solve. Show your work.
1.
Arthur had $90. He spent $40 and gave $20 to his brother.
What fraction of Arthur’s money is left?
2.
3
A baker has 20 pounds of sugar. He uses _
4 of the sugar to bake muffins.
How much sugar does he have left?
Extra Practice 4A
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Name:
Mya buys 6 goldfish and 4 angelfish.
a. What fraction of the fish are goldfish?
b.
4.
118
Mya buys 2 more goldfish. What fraction of the fish are angelfish?
3
2
_
of
her
savings
on
a
book,
and
Cheryl spends _
5 of it on a pen.
10
What fraction of her savings does Cheryl spend?
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3.
Date:
Chapter 6 Lesson 6.8
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Name:
Date:
5.
1
1
Of the vehicles on the road, _
are cars and _
8 are motorcycles.
2
What fraction of the vehicles are not cars or motorcycles?
6.
3
Allie’s plant has a height of 6 meters. Rajon’s plant grows _
10 meter higher.
How high does Rajon’s plant grow?
Extra Practice 4A
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Date:
7.
2
There are 10 packets of ham. Of the packets, _
5 are turkey ham. Each packet
1
of turkey ham weighs _
3 pound. What is the total weight of the turkey ham?
8.
6
1
_
hours
exercising
every
day
for
12
days.
She
spends
Carla spends _
4
2 of her
exercise time every day lifting weights. How much time does Carla spend
lifting weights during the 12 days?
120
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Name:
Chapter 6 Lesson 6.8
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Date:
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Put on Your Thinking Cap!
1.
2
Justin buys a pair of pants and a shirt. He spends _
5 of the total money
on the shirt. He pays $27 for the pair of pants. How much does Justin pay
for the shirt?
2.
5
Of all the peppers the chef has, _
7 are red and the rest are green.
The chef has a total of 34 green peppers. How many peppers does
she have altogether?
Extra Practice 4A
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Date:
1
A basket _
2 full of apples weighs 8 pounds. When the basket is filled
with apples, it weighs 11 pounds. What is the weight of the empty basket?
4.
5
2 _
1 _
1 _
7 _
4
_
Write the fractions _
9 , 3 , 6 , 18 , 9 , and 18 in the boxes. The three fractions
on each side of the triangle should have a sum of 1.
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3.
122
Chapter 6 Put on Your Thinking Cap!
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