_ Homework Helper Practice Lesson 5

Name
Number and Operations — Fractions
5.NF.1, 5.NF.2
Lesson 5
Add Unlike
Fractions
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Homework Helper
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_1 + _1 .
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4
6
Write equivalent, like fractions using the least common
1
1
denominator, LCD. The LCD of _ and _ is 12.
4
6
1× 2
1× 3
1 +_
1 =_
_
+_
6× 2
4
6
4× 3
3
2 +_
=_
12
Multiply.
12
2+3
5
=_
, or _
12
Write equivalent fractions using the LCD.
12
Add like fractions.
5
1
1
So, _ + _ = _.
6
4
12
5
1 +_
1 =_
Check The models show that _
.
4
6
12
1
6
1
4
1 1 1 1 1
12 12 12 12 12
Practice
Copyright © The McGraw-Hill Companies, Inc.
Add. Write each sum in simplest form.
5
3
1. _ + _ =
8
10
3
1
2. _ + _ =
5
4
4
1
3. _ + _ =
7
8
Lesson 5 My Homework641
Problem Solving
3
1
4. Tashia ate _ of a pizza, and Jay ate _ of the same
3
8
pizza. What fraction of the pizza was eaten?
5. Basir took a science test on Friday. One-eighth of
3
the questions were multiple choice, and _ of the
4
questions were true-false questions. What part of the
total number of questions are either multiple choice
or true-false questions?
2
6.
Use Number Sense Edison delivers
1
_
of the newspapers in the neighborhood, and Anita
5
1
delivers _ of them. Together, Edison and Anita deliver
2
what fraction of the newpapers?
Hiking Trails
Distance
(mi)
Trail
Riverwalk
3
_
Mountainview
1
_
Pine
3
_
4
2
5
Test Practice
3
1
8. Which expression will have the same sum as _ + _?
8
A
3 +_
1
_
B
(
8
8
1 +_
1 +_
1 +_
1
_
4
8
8
8
)
C
D
4
3 +_
1
_
4
4
1 +_
1 +_
1
_
8
8
8
(
)
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Copyright © The McGraw-Hill Companies, Inc. Nova Development/Art Explosion/Avanquest North America
7. Dylan and Sonia are hiking
different trails. If Dylan
hiked Riverwalk and
Mountainview, and Sonia
hiked Mountainview and
Pine, how many miles did
each of them hike?