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NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org
Name _____________________ Date __________________ PMI – 4th
Grade Fraction-Decimal Concepts Fraction Review Classwork Circle
the numerator in each of the following fractions:
1) 1
3
2) 3
4
3) 21
3
4) 6
7
5) 192
182
6) 16
17
Circle the denominator in each of the following fractions:
7) 1
3
8) 3
4
9) 21
3
10) 6
7
11) 192
182
12) 16
17
13) What fraction of this set are stars? _______
14) What fraction of this set is shaded?
______
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NJ Center for Teaching and Learning ~ 2 ~ www.njctl.org
Homework Circle the numerator in each of the following
fractions:
15) 5
7
16) 13
4
17) 5
3
18) 1
100
19) 12
18
20) 160
14
Circle the denominator in each of the following fractions:
21) 5
7
22) 13
4
23) 5
3
24) 1
100
25) 12
18
26) 160
14
27) What fraction of this set are parallelograms? ________
28) What fraction of this set is not shaded?
________
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NJ Center for Teaching and Learning ~ 3 ~ www.njctl.org
Mixed Numbers Classwork State whether each fraction is proper or
improper:
29) 1
3
30) 3
4
31) 21
3
32) 6
7
33) 192
182
34) 16
17
Write each improper fraction as a mixed number:
35) 3
2
36) 4
3
37) 13
9
38) 8
5
39) 4
1
40) 15
6
41) 13
10
42) 41
30
43) 24
7
44) 25
4
Write each mixed number as an improper fraction:
45) 2 1
2
46) 1 3
4
47) 2 4
9
48) 3 3
5
49) 415
16
50) 6 2
3
51) 5 6
7
52) 7 4
5
53) 91
9
54) 8 3
5
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NJ Center for Teaching and Learning ~ 4 ~ www.njctl.org
Homework State whether each fraction is proper or improper:
55) 5
7
56) 13
4
57) 5
3
58) 1
100
59) 12
18
60) 160
14
Write each improper fraction as a mixed number:
61) 5
3
62) 9
2
63) 17
9
64) 16
5
65) 8
2
66) 25
6
67) 23
10
68) 31
20
69) 27
7
70) 33
4
Write each mixed number as an improper fraction:
71) 3 1
2
72) 2 1
4
73) 1 7
9
74) 5 2
5
75) 411
12
76) 8 2
3
77) 2 4
7
78) 3 3
5
79) 71
7
80) 6 5
9
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NJ Center for Teaching and Learning ~ 5 ~ www.njctl.org
Compare and Order Fractions Classwork Order the following
fractions least to greatest
81) 3
5 ,
4
5 ,
1
5
82) 7
9 ,
2
9 ,
5
9
83) 3
20 ,
17
20 ,
7
20
84) 3
11 ,
3
5 ,
3
7
85) 7
9 ,
7
15 ,
7
23
86) 10
50 ,
10
15 ,
10
31
__________________________________________________
87) 8
15 ,
2
11 ,
7
8
88) 9
11 ,
5
10 ,
1
7
89) 3
40 ,
4
5 ,
7
15
90) 13
15 ,
6
13 ,
1
5
91) 2
4 ,
2
9 ,
8
11
92) 3
16 ,
6
7 ,
10
20
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NJ Center for Teaching and Learning ~ 6 ~ www.njctl.org
Homework Order the following fractions greatest to least
93) 2
7 ,
4
7 ,
6
7
94) 6
15 ,
2
15 ,
13
15
95) 2
9 ,
8
9 ,
5
9
96) 8
21 ,
8
15 ,
8
9
97) 6
13 ,
6
23 ,
6
11
98) 13
30 ,
13
50 ,
13
20
__________________________________________________
99) 10
20 ,
3
13 ,
9
11
100) 2
15 ,
7
14 ,
9
10
101) 3
40 ,
4
5 ,
7
15
102) 14
17 ,
2
13 ,
2
9
103) 4
50 ,
8
9 ,
12
23
104) 14
15 ,
1
7 ,
9
20
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NJ Center for Teaching and Learning ~ 7 ~ www.njctl.org
Equivalent Fractions Classwork Circle the sets of fractions
below that are equivalent. If the two fractions are not equivalent,
write a new fraction that is equivalent for each one.
105) 1
2=
3
6
106) 21
21=
7
7
107) 2
3=
3
4
108) 1
6=
3
18
109) 4
9=
8
19
110) 6
8=
3
6
111) 5
7=
20
35
112) 7
8=
14
16
113) 9
10=
27
30
114) 11
12=
111
112
Homework Circle the sets of fractions below that are equivalent.
If the two fractions are not equivalent, write a new fraction that
is equivalent for each one.
115) 2
3=
4
6
116) 15
16=
150
160
117) 5
10=
20
30
118) 1
6=
4
24
119) 5
9=
10
19
120) 3
4=
9
12
121) 5
7=
10
70
122) 3
7=
6
21
123) 4
5=
16
20
124) 13
15=
131
151
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NJ Center for Teaching and Learning ~ 8 ~ www.njctl.org
Lowest Term Fractions Classwork Simplify each fraction to lowest
terms:
125) 4
8
126) 4
12
127) 3
9
128) 15
25
129) 24
28
130) 14
21
131) 8
10
132) 8
30
133) 24
32
134) 250
400
Homework Simplify each fraction to lowest terms:
135) 4
6
136) 6
10
137) 3
12
138) 10
15
139) 32
36
140) 17
34
141) 14
20
142) 26
52
143) 11
23
144) 320
400
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NJ Center for Teaching and Learning ~ 9 ~ www.njctl.org
Convert Decimals to Fractions Classwork Convert the following
decimals to fractions. Be sure the fraction is simplified. 145)
0.25
146) 0.2
147) 0.06
148) 0.31
149) 0.45
150) 0.3
151) 0.55
152) 0.8
153) 0.5
154) 0.09
Homework Convert the following decimals to fractions. Be sure
the fraction is simplified. 155) 0.6
156) 0.41
157) 0.7
158) 0.65
159) 0.04
160) 0.3
161) 0.83
162) 0.05
163) 0.75
164) 0.24
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NJ Center for Teaching and Learning ~ 10 ~ www.njctl.org
Convert Fractions to Decimals Classwork Convert the following
fractions to decimals.
165) 1
10
166) 4
5
167) 3
20
168) 23
25
169) 1019
50
170) 63
5
________________________________________________________
171) 3
8
172) 1
3
173) 78
11
174) 5
6
175) 25
8
176) 4
11
Homework Convert the following fractions to decimals.
177) 7
25
178) 9
10
179) 13
20
180) 201
5
181) 37
20
182) 72
5
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NJ Center for Teaching and Learning ~ 11 ~ www.njctl.org
_______________________________________________________
183) 1
6
184) 7
8
185) 92
3
186) 52
3
187) 7
9
188) 8
11
Number Line Location Classwork Divide each number line into
equal size pieces and label each number. 189) 0.3
0.85
0.5
190) 0.65
0.62
0.68
191) 0.5
4
5
1
4
192) 2 3
10
2 3
5
2.75
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NJ Center for Teaching and Learning ~ 12 ~ www.njctl.org
Homework Divide each number line into equal size pieces and
label each number. 193) 0.27
0.22
0.26
194) 0.45
0.2
0.8
195) 0.35
1
2
3
4
196) 5 2
5
5 8
10
5.45
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NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org
Fraction-Decimal Concepts Unit Review Multiple Choice
Questions
1) A fraction is an expression that indicates the ________ of
two quantities:
a. Product
b. Sum
c. Difference
d. Quotient
2) A fraction is expressed as:
a. instigator
denominator
b. denominator
numerator
c. numerator
denominator
d. numerator
instigator
3) Which of the following fractions are equivalent to 2
3?
a. 2
6
b. 1
3
c. 4
9
d. 4
6
4) Which of the following fractions are NOT equivalent to 3
4?
a. 9
12
b. 6
8
c. 5
7
d. 15
20
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NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org
5) Which of the following fractions are equivalent to 35
50?
a. 7
10
b. 3
5
c. 30
40
d. 50
35
6) Which set of fractions is equivalent?
a. 2
6=
4
10
b. 3
6=
1
2
c. 4
6=
8
10
d. 5
6=
6
5
7) How would you write 10
30 in lowest terms?
a. 2
6
b. 5
15
c. 3
10
d. 1
3
8) Which of the following fractions is in its lowest term?
a. 3
4
b. 2
6
c. 5
10
d. 12
16
9) Which of the following fractions is in its lowest term?
a. 6
10
b. 14
18
c. 15
16
d. 25
30
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NJ Center for Teaching and Learning ~ 15 ~ www.njctl.org
10) In mixed numbers, 22
5 is written as
a. 4 2
5
b. 5 2
5
c. 20 2
5
d. 22 1
5
11) In mixed numbers, 13
3 is written as
a. 1 3
3
b. 4 1
3
c. 4 2
3
d. 13 1
3
12) Which of the following shows 5 1
2 as an improper fraction?
a. 51
2
b. 11
2
c. 15
2
d. 1
10
13) Which of the following shows 2 5
8 as an improper fraction?
a. 21
8
b. 12
8
c. 7
8
d. 5
16
14) Which of the following fractions is the largest?
a. 2
3
b. 3
4
c. 4
5
d. 5
10
15) Which of the following fractions is the largest?
a. 7
8
b. 4
9
c. 7
16
d. 21
45
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16) Which of the following fractions is the smallest?
a. 1
8
b. 1
15
c. 1
20
d. 1
30
17) Which of the following fractions is the smallest?
a. 2
5
b. 9
10
c. 7
8
d. 5
6
18) Which fraction is closest to zero?
a. 5
9
b. 7
12
c. 3
16
d. 5
12
19) Which fraction is closest to one?
a. 7
9
b. 5
12
c. 3
16
d. 7
12
20) Which fraction is closest to a half?
a. 9
10
b. 5
12
c. 2
16
d. 8
25
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21) If the square is worth one, what mixed number do the shapes
represent?
a. 4 3
4 c. 1
1
3
b. 1 3
4 d. 3
1
4
22) If the square is worth one., what improper fraction do the
shapes represent?
a. 3
4 c.
4
3
b. 7
4 d.
6
4
23) Jim drank 3
4 cup of orange juice. Which decimal is equivalent to
3
4?
a. 0.25
b. 0.50
c. 0.40
d. 0.75
24) In the school play, 6
8 of the performers are boys. In the simplest form, what
fraction of the performers are boys?
a. 12
16
b. 3
4
c. 2
4
d. 2
3
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25) Jennifer’s recipe calls for 8
16 cup of flour. She only has a
1
4 cup to measure with.
Which equivalent fraction shows the amount of flour she can use
for the recipe?
a.
b.
c.
d.
26) Which of the following is ordered least to greatest?
a. 1
10 ,
2
5 ,
6
8 ,
9
10
b. 5
6 ,
10
20 ,
1
2 ,
3
8
c. 2
3 ,
4
5 ,
2
8 ,
10
12
d. 2
9 ,
4
7 ,
7
12 ,
5
14
27) Which fraction is equivalent to 7
12?
a. 4
6
b. 10
24
c. 14
24
d. 3
9
28) Which fraction is equivalent to 323?
a. 9
3
b. 12
3
c. 11
3
d. 6
3
29) Which pair of fractions are equivalent?
a. 2
3 =
4
3 c.
15
25 =
3
5
b. 4
6=
6
8 d.
16
24=
4
8
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30) Bob uses 3
8 cup of peanuts and
1
2 cup of raisins to make a snack. His brother
asked if he used more peanuts or raisins in his snack. Which
inequality symbol correctly compares the fractions?
3
8
1
2
a. > b. < c. =
31) Eileen bought ¾ cup pound of macaroni salad and 9/10 pound
of potato salad for a picnic. Which inequality symbol correctly
compares the fractions?
3
4
9
10
a. > b. < c. =
Fraction-Decimal Concepts Unit Short Constructed Response
Questions
32) What number can go in the box to make the numbers
equivalent?
33) What number can go in the box to make the numbers
equivalent?
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34) Short Constructed Response: Complete the table filling in
the missing
values.
Fraction Decimal
0.5
0.45
2
3
1
3
Extended Constructed Response: Answer the following question
completely, partial credit will be given.
35) Create and label a number line for the following numbers. Be
sure to show all
work.
0.7
0.3
1.65
1
0.80
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NJ Center for Teaching and Learning ~ 21 ~ www.njctl.org
Answer Key:
1) 1
3
2) 3
4
3) 21
3
4) 6
7
5) 192
182
6) 16
17
7) 1
3
8) 3
4
9) 21
3
10) 6
7
11) 192
182
12) 16
17
13) 4
7
14) 2
5
15) 5
7
16) 13
4
17) 5
3
18) 1
100
19) 12
18
20) 160
14
21) 5
7
22) 13
4
23) 5
3
24) 1
100
25) 12
18
26) 160
14
27) 1
4
28) 3
8
29) proper
30) proper
31) improper
32) proper
33) improper
34) proper
35) 11
2
36) 11
3
37) 14
9
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NJ Center for Teaching and Learning ~ 22 ~ www.njctl.org
38) 13
5
39) 4
40) 21
2
41) 13
10
42) 111
30
43) 33
7
44) 61
4
45) 5
2
46) 7
4
47) 22
9
48) 18
5
49) 79
16
50) 20
3
51) 41
7
52) 39
5
53) 82
9
54) 43
5
55) proper
56) improper
57) improper
58) proper
59) proper
60) improper
61) 12
3
62) 41
2
63) 18
9
64) 31
5
65) 4
66) 41
6
67) 23
10
68) 111
20
69) 36
7
70) 81
4
71) 7
3
72) 9
4
73) 16
9
74) 27
5
75) 59
12
76) 26
3
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NJ Center for Teaching and Learning ~ 23 ~ www.njctl.org
77) 18
7
78) 18
5
79) 50
7
80) 59
9
81) 1
5 ,
3
5 ,
4
5
82) 2
9 ,
5
9 ,
7
9
83) 3
20 ,
7
20 ,
17
20
84) 3
11 ,
3
7 ,
3
5
85) 7
23 ,
7
15 ,
7
9
86) 10
50 ,
10
31 ,
10
15
87) 2
11 ,
8
15 ,
7
8
88) 1
7 ,
5
10 ,
9
11
89) 3
40 ,
7
15 ,
4
5
90) 1
5 ,
6
13 ,
13
15
91) 2
9 ,
2
4 ,
8
11
92) 3
16 ,
10
20 ,
6
7
93) 6
7 ,
4
7 ,
2
7
94) 13
15 ,
6
15 ,
2
15
95) 8
9 ,
5
9 ,
2
9
96) 8
9 ,
8
15 ,
8
21
97) 6
11 ,
6
13 ,
6
23
98) 13
20 ,
13
30 ,
13
50
99) 9
11 ,
10
20 ,
3
13
100) 9
10 ,
7
14 ,
2
15
101) 4
5 ,
7
15 ,
3
40
102) 14
17 ,
2
9 ,
2
13
103) 8
9 ,
12
23 ,
4
50
104) 14
15 ,
9
20 ,
1
7
105) 1
2=
3
6
106) 21
21=
7
7
107) 2
3=
4
6;
3
4=
6
8
108) 1
6=
3
18
109) 4
9=
8
18;
8
19=
16
38
110) 6
8=
3
4;
3
6=
6
12
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NJ Center for Teaching and Learning ~ 24 ~ www.njctl.org
111) 5
7=
10
14;
20
35=
4
7
112) 7
8=
14
16
113) 9
10=
27
30
114) 11
12=
22
24;
111
112=
1110
1120
115) 2
3=
4
6
116) 15
16=
150
160
117) 5
10=
15
30;
20
30=
4
6
118) 1
6=
4
24
119) 5
9=
10
18;
10
19=
20
38
120) 3
4=
9
12
121) 5
7=
10
20;
10
70=
1
7
122) 3
7=
6
14;
6
21=
2
7
123) 4
5=
16
20
124) 13
15=
26
30;
131
151=
1310
1510
125) 1
2
126) 1
3
127) 1
3
128) 3
5
129) 6
13
130) 2
3
131) 4
5
132) 4
15
133) 6
8
134) 5
8
135) 2
3
136) 3
5
137) 1
4
138) 2
3
139) 8
9
140) 1
2
141) 7
10
142) 1
2
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NJ Center for Teaching and Learning ~ 25 ~ www.njctl.org
143) 11
23
144) 8
10
145) 1
4
146) 1
5
147) 3
50
148) 31
100
149) 9
20
150) 3
10
151) 11
20
152) 4
5
153) 1
2
154) 9
100
155) 3
5
156) 41
100
157) 7
10
158) 13
20
159) 1
25
160) 3
10
161) 83
100
162) 1
20
163) 3
4
164) 6
25
165) 0.1
166) 0.8
167) 0.15
168) 2.12
169) 10.38
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NJ Center for Teaching and Learning ~ 26 ~ www.njctl.org
170) 6.6
171) 0.375
172) 0.3̅
173) 7. 72̅̅̅̅
174) 0.83̅
175) 2.625
176) 0. 36̅̅̅̅
177) 0.28
178) 0.9
179) 0.65
180) 2.2
181) 3.35
182) 7.4
183) 0.16̅
184) 0.875
185) 9. 6̅
186) 5.6̅
187) 0. 7̅
188) 0.72̅̅̅̅
189)
190)
191)
192)
193)
0 1
0.3 0.85 0.5
6 7
0.62 0.65 0.68
0 1
0.5 0.25 0.8
2 3
2.75 2.3 2.6
0.2 0.3
0.27 0.22 0.26
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NJ Center for Teaching and Learning ~ 27 ~ www.njctl.org
194)
195)
196)
Unit Review Answer Key:
1. d 2. c 3. d 4. c 5. a 6. b 7. d 8. a 9. c 10. a 11. b
12. b 13. a 14. c 15. a 16. d 17. a 18. c 19. a 20. b 21. b 22.
b
23. d 24. b 25. c 26. a 27. c 28. c 29. c 30. b 31. b 32. 21 33.
2
34.
Fraction Decimal
1/2 0.5
9/20 0.45
2/3 .6666
1/3 .3333
35.
0 0.3 2/3 0.7 0.8 1 1 1/5 1.65
___________________________________________________ How numbers
should be placed on number line
0 1
0.45 0.2 0.8
0 1
0.35 0.5 0.75
5 6
5.45 5.4 5.8
