3rd Grade Fraction Review
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Transcript of 3rd Grade Fraction Review
FractionsCHAPTER
14Lesson 14.1 Understanding FractionsWhat fractions make a whole?Fill in the blanks.
1.
_ 7 � 3 _ 7 � 7 _ 7
-sevenths and -sevenths make 1 whole.
What fraction of each fi gure is shaded?Fill in each box with the missing numerator.
2. e
_
8
c
_
4
r
_
5
a
_
12
s
_
8
u
_
3
q
_
6
k
_
10
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Extra Practice 3B
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Match the letters in Exercise 2 with the answers to solve the riddle.
Put three ducks in a box.What do you have?
A box of (2)
(1)
(5)
(3)
(7)
(8)
(4)
(6)
What fraction of each fi gure is shaded?Fill in each box with the missing denominator.
3. 4.
2 _ 3 _
5. 6.
7 _
4 _
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Chapter 14 Lesson 14.1
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Lesson 14.2 Understanding Equivalent FractionsCut out the fraction pieces on pages 59 and 61.Then place them on the unit square to help you fi nd the equivalent fractions.
Unit square
1 whole
Example 1 _ 2 � _ 6
Step 1 Place a 1 _ 2 -piece on the unit square.
Step 2 Next, completely cover the 1 _ 2 -piece with 1 _ 6 -pieces.
Step 3 Note the number of 1 _ 6 -pieces needed to cover the 1 _ 2 -piece
completely.
Answer: Three 1 _ 6 -pieces are needed to cover the 1 _ 2 -piece completely.
1 _ 2 � 3 _ 6
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Extra Practice 3B
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Fill in the missing numerator or denominator.
1. 1 _ 6 � _ 12 2. 1 _ 4 � 2 _
3. 1 _ 3 � _ 6 4. 1 _ 2 � 4 _
5. 3 _ 4 � _ 8 6. 2 _ 5 � _ 10
7. 2 _ 3 � _ 12 8. 5 _ 6 � _ 12
9. 4 _ 5 � 8 _ 10. 3 _ 4 � 9 _
11. 2 _ 6 � 4 _ 12. 2 _ 3 � 6 _
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Chapter 14 Lesson 14.2
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Use different colors to color the mat below to show the fractions
1 _ 2 , 1 _ 3 , 1 _ 4 , 1 _ 5 , 1 _ 6 , 1 _ 8 , 1 _ 10 , and 1 _ 12 .
13.
Look at the mat above and circle the pairs of fractions that are equivalent fractions.
14. 1 _ 5 and 2 _ 10 15. 2 _ 3 and 5 _ 6
16. 2 _ 4 and 5 _ 8 17. 1 _ 2 and 5 _ 10
18. 2 _ 5 and 4 _ 10 19. 1 _ 4 and 6 _ 12
20. 3 _ 4 and 6 _ 8 21. 2 _ 3 and 4 _ 6
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Extra Practice 3B
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Use the number lines to fi nd the equivalent fractions. Fill in the missing numerators.
0 1
21
0 1
323
1
0 1
434
24
1
0 1
646
56
36
26
1
0 1
122
123
124
125
126
127
128
129
121012
1112
1
22. 1 _ 2 � _ 4 � _ 6 � _ 12
23. 3 _ 4 � _ 12
24. 2 _ 3 � _ 6 � _ 12
25. 5 _ 6 � _ 12
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Chapter 14 Lesson 14.2
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Fraction Pieces
✄ ✄
12
12
Halves
✄✄
14
14
14
14
Fourths
15
✄
15
✄
15
✄
15
✄
15
✄
Fifths
✄✄✄
13
13
13
Thirds
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Extra Practice 3B
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BLANK
G4A_ExtraPractice_Blank pg.indd 3 1/15/09 11:17:25 AM
✄ 18
✄ 18
✄ 18
✄ 18
✄ 18
✄ 18
✄ 18
✄ 18
Eighths16
✄
16
✄
16
✄
16
✄
16
✄
16
✄
Sixths
110✄
110✄
110✄
110✄
110✄
110✄
110✄
110✄
110✄
110✄
Tenths1
12✄
112✄
112✄
112✄
112✄
112✄
112✄
112✄
112✄
112✄
112✄
112✄
Twelfths
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Extra Practice 3B
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BLANK
G4A_ExtraPractice_Blank pg.indd 3 1/15/09 11:17:25 AM
Lesson 14.3 More Equivalent FractionsWrite the missing numerator, denominator, and fraction.
1.
�3
4
� 2
� 2
3 _ 4 is equivalent to .
Find the missing numerators and denominators.
2.
�25
� 2
� 2
3.
�
� 4
� 4
13
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Extra Practice 3B
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4.
�
� 3
� 3
34
5.
�
� 2
� 2
56
Find the missing numerators or denominators.
6. 4 _ 5 � _ 10
7. 1 _ 2 � 6 _
8. 2 _ 3 � 6 _
9. 2 _ 9 � 4 _
10. 3 _ 4 � _ 8 � _ 12 � _ 16
11. 3 _ 3 � 6 _ � 9 _ � 12 _
12. 3 _ 5 � _ 10 � _ 15 � _ 20
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Chapter 14 Lesson 14.3
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Draw to show the simplest fraction.Then write the fraction in the boxes.
�
� 4
� 4
48
12
4 _ 8 is equivalent to 1 _ 2 .
Example
13.
�
� 2
� 2
810
4
8 _ 10 is equivalent to .
Find the missing numerators and denominators.
14.
�
� 3
� 3
912
15.
�
� 3
� 3
39
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Extra Practice 3B
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16.
�
� 5
� 5
510
17.
�
� 2
� 2
68
Write each fraction in simplest form.
18. 2 _ 6 � _ 19. 4 _ 8 � _
20. 6 _ 10 � _ 21. 8 _ 10 � _
22. 3 _ 12 � _ 23. 9 _ 12 � _
24. 8 _ 12 � _ 25. 10 _ 12 � _
26. 2 _ 8 � _ 27. 4 _ 10 � _
28. 15 _ 20 � _ 29. 6 _ 9 � _
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Chapter 14 Lesson 14.3
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Lesson 14.4 Comparing FractionsCompare the fractions.
1. 5 _ 7
1 _ 2
is less than .
2.
7 _ 10 1 _ 2
is greater than .
3.
5 _ 7 2 _ 7
is less than .
4.
2 _ 6 4 _ 6
is greater than .
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Extra Practice 3B
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5.
4 _ 7 4 _ 5
is less than .
6.
3 _ 10 3 _ 4
is greater than .
Compare the fractions.
7. Which is less, 2 _ 3 or 7 _ 12 ?
2 _ 3 �
�
8. Which is greater, 5 _ 8 or 1 _ 4 ?
1 _ 4 �
�
9. Which is less, 2 _ 3 or 2 _ 9 ?
2 _ 3 �
�
Change to equivalent like fractions.
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Chapter 14 Lesson 14.4
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Compare. Write , or ..
Use 1 _ 2 as a benchmark.
10.
0 12
Fractions less than 12
1
0 25
15
45
35
1
0 18
28
38
48
58
68
78
1
Fractions greater than 12
2 _ 5 1 _ 2
5 _ 8 1 _ 2
So, 2 _ 5 5 _ 8 .
Compare the fractions. Fill in the blanks.
11. 1 _ 3 and 2 _ 3
is greater.
12. 4 _ 5 and 6 _ 10
is greater.
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Extra Practice 3B
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13. 10 _ 11 and 1 _ 2
is greater.
14. 4 _ 7 and 4 _ 8
is greater.
Order the fractions from least to the greatest.
15. 1 _ 2 , 1 _ 4 , 1 _ 6
16. 3 _ 4 , 5 _ 6 , 2 _ 3
17. 3 _ 4 , 7 _ 12 , 2 _ 6
18. 5 _ 6 , 5 _ 8 , 5 _ 12
Order the fractions from greatest to the least.
19. 3 _ 8 , 3 _ 4 , 1 _ 2
20. 1 _ 6 , 1 _ 3 , 1 _ 9
21. 11 _ 12 , 3 _ 4 , 5 _ 6
22. 2 _ 4 , 2 _ 6 , 2 _ 3
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Chapter 14 Lesson 14.4
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Lesson 14.5 Adding and Subtracting Like Fractions (Part 1)
Complete the model.Add the fractions.
1.
?
16
2.
?
19
3.
?
110
_ 10 � 1 _ 10 �
4.
?
38
_ 6 � 1 _ 6 �
1 _ 9 � _ 9 �
3 _ 8 � _ 8 �
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Extra Practice 3B
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Add.
5. 1 _ 2 � 1 _ 2 �
6. 1 _ 3 � 2 _ 3 �
7. 2 _ 5 � 1 _ 5 �
8. 1 _ 6 � 3 _ 6 �
Solve.
9. What fraction should you add to the sum of 3 _ 8 and 3 _ 8 to get 1 whole?
10. What fraction should you add to the sum of 2 _ 10 and 3 _ 10 to get 1 whole?
11. What fraction should you add to the sum of 2 _ 9 and 4 _ 9 to get 1 whole?
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Chapter 14 Lesson 14.5
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Lesson 14.5 Adding and Subtracting Like Fractions (Part 2)
Complete the model.Subtract the fractions.
1. 56
?
6
2. 712
?
12
3. 78
?
8
4. 910
?
10
5 _ 6 � _ 6 �
7 _ 12 � _ 12 �
7 _ 8 � _ 8 �
9 _ 10 � _ 10 �
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Extra Practice 3B
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Subtract.
5. 5 _ 8 � 2 _ 8 � 6. 8 _ 9 � 4 _ 9 �
7. 6 _ 7 � 4 _ 7 � 8. 7 _ 11 � 2 _ 11 �
9. 5 _ 6 � 2 _ 6 � 1 _ 6 �
10. 7 _ 12 � 5 _ 12 � 1 _ 12 �
11. 1 � 3 _ 4 �
12. 1 � 2 _ 3 �
Solve.
13. What fraction should you add to the difference of
8 _ 12 and 1 _ 12 to get 1 whole?
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Chapter 14 Lesson 14.5
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Lesson 14.6 Fraction of a Set What fraction of each set of objects is shaded? Fill in the blanks.
1.
2.
3.
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Extra Practice 3B
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4.
Solve. Use pictures and bar models to help you.
5. 2 _ 3 of the 12 beetles are brown. How many beetles are brown?
?
12
3 units 12
1 unit �
�
2 units �
�
2 _ 3 of 12 is .
So, of the beetles are brown.
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Chapter 14 Lesson 14.6
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6. 3 _ 4 of the 16 apples are green.
How many apples are green?
7. 5 _ 8 of the 24 oranges were eaten.
How many oranges were eaten?
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Extra Practice 3B
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8. 4 _ 7 of the 21 breakfast bars are vanilla fl avored.
How many breakfast bars are vanilla fl avored?
9. 2 _ 3 of the 60 shirts are blue.
How many shirts are blue?
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Chapter 14 Lesson 14.6
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Put on Your Thinking Cap!
Shade the two fractions in each model and solve the problem.
1. Maria bought 1 liter of mango juice.
She used 3 _ 8 liter of the juice on the fi rst day and 1 _ 4 liter on the second day.
How much mango juice is left at the end of the second day?
2. What fraction of each square is shaded?
a. b.
c. d.
e. f.
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Extra Practice 3B
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Solve. Draw models to help you.
3. Box X and Box Y are the same size.
2 _ 3 of Box X contains sand and 2 _ 9 of Box Y contains sand.
How much sand from Box X must be poured into Box Y so that the boxes
contain the same amount of sand?
4. Alvin had 5 _ 6 of a pizza.
Tom had a part of an equal-sized pizza.
Alvin gave 1 _ 6 of his pizza to Tom.
Now, both of them have the same amount of pizza.
What fraction of a pizza did Tom have at fi rst?
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Chapter 14 Put on Your Thinking Cap!
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