A STORY OF UN¡TS
GRADE5.MODULE4
Answer Key
GRADE5oMODULE4
Multiplication and Division of Fractions and Decimal
Fractions
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EUREKA
Module4:
Mult¡pl¡cation and Division of Fractions and Decimal Fractions
This work is derived
from Eurek¿ Math ¡r and licensed by Great Minds. O2015 6reat Minds. eureka-math.org
¡IATH"
G5-M4-TE-t.3.0-05.20t5
524
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Lesson 1
Problem Set
1. Answers willvary.
2. Answers willvary.
3. Answers willvary.
4. Answers willvary.
5. a. Answers willvary
b.
Answers willvary
c.
Answers willvary
Exit Ticket
1.
2.
Line plot drawn correctly
Answers willvary.
Homework
Line plot drawn correctly
a.
b.
c.
d
Location 6
Locations
1
1,7,andtA
ln
5in
EUREI(A
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Module
4:
Multiplication and Division of Fractions and Decimal Fractions
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525
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Lesson 2
Problem Set
1. a. Answer provided
b. L2 fourths +4 = 3 fourths =f; Ricture representing 3 +4 drawn
c. 24 fourths + 4 = ifourths =1= ,1= 1å; picture representíng 6 + 4 drawn
2. 3 +2=f or6 halves +2=3halves =ï= t];
3. a. Solutions illustrated correctly
b. Answers willvary.
4. a. 2,3
b. 15,9
c. t7,4
d.3,2
e. 9,13
f. 4,3
Ricture representing3+ 2 drawn
Exit Ticket
1.
a.
3+9=1I =!or27 ninths + 9 = 3 ninths =I =Irpicture
L
b.
2
4+3=: = 1 å or 12 thirds + 3 = Athirds = 1 = fi
3
representing 3 + 9 drawn
picture representing 4 + 3 drawn
a. 2t,8
b. 7,4
c. 4,9
d. 9,7
EUREKA
llAillf
Module4:
Multipl¡cation and Division of Fractions and Decimal Fractions
This work is der¡ved
from Eureka Mâth '" and l¡censed by 6reat Minds. @2015 Great Minds. eureka-math.org
GS-M4-TÉ1.3.0"05.20t5
526
Lesson 2 Answer
A STORY OF UNITS
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Homework
T
L. a. f; picture representing
L + 4 drawn
.3
b. ;; picture representing 3 + 5 drawn
,3
picture representing 7 + 4 drawn
c. 7-or I¡;
2.
4+ 6=l=t¿or 24sixths + 6=4sixths =1=Z; picture representing4+ 6 drawn
3. a. 2,7
b. 39,5
c. 13,3
d. 9,5
e. 19,28
f. 9,5
EUREKA
MATH"
Module
4:
Multiplicatìon and D¡vision of Fractions and Decimal Fractions
work is derived from Eureka
G5-M4-TE{.r.0-05.20rS
This
Math'"
and licensed by
creat Minds. O2015 Great Minds. eureka-math.org
527
@
Lesson 3
Problem Set
1. a. Answer provided
b. e,3;X;algorithm completed correctly
c. U, or9i 1J; aleorithm completed correctly
d. 10 halves + 2 = 5 halves; algorithm completed correctly
2
a. f; tnt*"t, will vary.
b. 3; answers will vary.
3
a. 4; answers will vary.
b.
4
5
Exit Ticket
4;36fourths + 4 = 9 fourths;
i=
wholes, or 36 fourths, divided by 4
9+
,!;
algorithm completed correctly; picture drawn representing 9
Homework
1. a. Answer provided
b. 7,5;35,7;Z; algorithm completed correctly
c. 7,2; L4,l;i;Si algorithm completed correctly
d. 28 fourths + 4=7 fourths; 1f; aleorithm completed correctly
2.
a. 3; explanations willvary
b.7
3
a. 4; explanations willvary
b
zt
2
EUREKA
MAilf
Module4:
Multiplication and Division of Fractions and Decimal Fractions
Th¡s work is derived
from Eureka Math '¡ ãnd licensed by Greât Minds. @2015 Great M¡nds. eureka-math.org
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5-M4-f En-3-0-05-20ì5
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Lesson 4
Problem Set
L. a.
b.
2
Answer provided
J;
tane diagram drawn correctly
c. 1f; tane diagram drawn correctly
d. 2!;taoediagram drawn correctly
a. Answer provided
b. f; alsorithm completed
3.
4.
c.
d.
a.
b.
a.
correctly
55, 10; 5 and 6; algorithm completed correctly
32,40;0 and 1; algorithm completed correctly
80 cents
20 cents; explanations willvary
!4
b. 1|; tane diagram drawn correctly
c. 6O oz
Exit Ticket
2! ; taoediagram
EUREKA
drawn correctly
Module
4:
Multiplication and Division of Fractions and Decimal Fract¡ons
MAITf
This work is derived
from Eureka Math '¡ ând l¡censed by Great Minds. @2015 Great Minds. eureka-math.org
529
@
Homework
1. a. Answer provided
b. f; tape diagram drawn correctly
2.
c. f; ttn" diagram drawn correctly
d. f,; tane diagram drawn correctly
a. Answer provided
b. 3,4; algorithm completed correctly
c. 7,2;3 and 4; althorithm completed correctly
d. 81, 90; 0 and 1; algorithm completed correctly
3
a. f Va; ttO" diagram drawn correctly
b. f I t; tape diagram drawn correctly
4.
+?n
3
5.
J
tn;
trp"
EUREKA
diagram drawn correctly
Module
4:
Multiplication and Div¡sion of Fractions and Decimal Fractions
MAfl,f
lhis work
is der¡ved from Ëureka
G5-M4-TE-t.t.0-05.20ìS
Math'" äñd l¡censed
by Great Minds. O2015 Great Minds, eureka-math.org
530
@
Lesson 5
Problem Set
1.
? yd
5
5
3.
! or ? pt
I or 7);tape diagram drawn showing 6 + 4
4.
a.
-4T
82or-
b.
1
2.
6
3
6
4
51
408
-or4
a. -105
or-2 L
b. 0.4 L
c. 400 mL
7.
I
a.
a!mi;tape diagram drawn showing
b.
14 mi
14 + 3
Exit Ticket
a.
I vd; taoe
diagram drawn showing 5 + 9
b.L 9I yd
Homework
L
a.
gZ org\ gal
42
b.
I0)
c.
72¡
d.
1
2.a
MAflf
b. 1x
4
sal; explanations will va ry
c.
orzlsq.ft
3
4
EUREKA
Module
1; models willvary
4:
9in
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Multiplication and Division of Fractions and Decimal Fractions
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Lesson 6
Sprint
Side A
f
f
23.
3
34.
2!6
24.
312
35.
a?7
74. ?
25.
1
36.
31
I
T
15.
1
26.
37.
5.
?
L6.
f
1!8
27.
1Z
38.
5:9
a!6
6.
1
L7.
19
28.
2
39.
61
7.
I4
18.
2
29.
23-
40.
6l
19.
2!2
30.
7!2
4L.
7!9
20.
2
31.
4i
42.
gs-
2L.
2:5
32.
a!4
43.
7Z
22.
23-
33.
6?3
44.
-8
I
12.
L
23.
3
34.
31
13.
f
24.
31
35.
L4.
!
25.
1"
36.
L.
1
2.
!
3.
1
4.
8.
t2.
2
13.
3
I
5
5
3
3
3
10
9.
1
10.
I
LL.
É
5
5
4
4
5
I
4
L
7
8
6
I
Side B
1.
1
2.
!4
3.
4.
5.
3
L
10
L
g
6
2
5
5
6
a!7
a!
B
-5
15.
7
26.
11
37.
5-9
16.
TI10
27.
11
38.
2s-
39.
69
6
6
6
6.
I
17.
28.
2
7.
t
1310
18.
2
29.
2?
40.
61
I
19.
2!5
30,
6!2
4'J..
7!9
20. 21
31.
a1
42.
s!6
2r.
2
32.
314
43.
7!8
22.
2!2
33.
a3-
44.
7Z
8.
7
3
10
9.
1
1_0.
1
LL,
11
4
5
4
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4
Module4:
Multiplication ãnd Division of Fractions and Dec¡mal Fractions
This work is derived
from Eureka Math '" and l¡censed by Great M¡nds. @2015 Gre¿t M¡nds. eureka-math.org
G5-M4-TE.t.3.0-05.20t5
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Problem Set
3.
4.
5.
1. a. 3;6;9
b. 5;10;15
c' 4;16;5
Explanations and pictures will vary
t2
15 ten dollar bills or $tSO
d.3;9;t2;t8;2t
2.
8; drawings willvary
Exit Ticket
L.a.4
b.
2. 12
t2
Homework
1. a. 4;8;L2
b. 5;LO;t5;20
c. 7;L4;27;28;35;42
2. 12; drawings willvary.
3. Explanations and pictures will vary.
EUREKA
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Module
lhls work
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b.
2 dozen;24 eggs
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Multiplication and Division of Fractions and Decimal Fractions
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4-ÍEi.l.O-0S.20rS
533
Lesson 7 Answer Key
A STORY OF UN]TS
@
Lesson 7
Problem Set
t.
Tape diagrams drawn accurately
t
2!4
h.
a!5
¡.
15
j.
32
Tape diagrams drawn accurately
a. 36
b. 140 degrees
c. 572
d.3 -5 ounces
a.6
b. 12
c. 18
d.9
e. 20
f. 20
Þ.
2.
T
Exit Ticket
Tape diagrams drawn accurately
a.
b.
c.
18
s0
L6
EUR,EKA
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
MATH-
This work is derived from Eureka
GS-M4-lE-l 3.0-05 2015
Math'" and licensed by 6reat Minds.
@2015 Great Minds. eureka'mãth.org
534
Lesson 7 Answer Key
A STORY OF UNITS
@
Homework
1.
Tape diagrams drawn accurately
a.6
b. 12
c. t2
d.6
e. 2L
f. 36
c. 10å
h.8
2.
Tape diagrams drawn accurately
a. 22
b. 150 degrees
c. 4?a4or 4!ounces
d.
84
6!4
i. 181
'4
k.
l.
36
35
EUREKA
MATH"
Module
4:
Mult¡pl¡cation and Division of Fractions and Decimal Fractions
fhis work is deraved from Eureka
GS-M4-rE-r 1.0-0s.20t5
Math'" and Iicensed by Great Minds.
@2015 Greât Minds. eureka-math.org
535
Lesson 8 Answer Key
A STORY OF UNITS
@
Lesson 8
Problem Set
1.
2.
Explanations will vary.
b.
c.
Solution strategies will vary
a.6
b. 27
c. 39
d. 36
Solution strategies will vary
2!
a.
3.
4
4
2A
5
L2
7
Modeling willvary
5.
a.4
b.6
a. 30
b. 4s
c. 300
d. 80
Exit Ticket
Solution strategies will vary
a.
b.
10
1s
EUREKA
Module
4:
lhis work
as
Multiplication and D¡vis¡on of Fractions and Dec¡mal Fract¡ons
¡IATH"
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derived from Eurekâ Math
5-M 4-TE-t.3.0-0 5.20
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'" and licensed
by Great Minds. O2015 Great Minds. eureka-math.org
536
Lesson 8 Answer
A STORY OF UNITS
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Homework
1.
3. a.
Solution strategies will vary
20
15
a. -or5
3
b
48
b.
c
700
d
60
.26
5
27
4
2
Solution strategies will vary
a. 12
b. L6
c. 44
d. 42
e. 15
f.
7t2
d
ß!
b.
EUREKA
Module
4:
Multipl¡cation and Division of Frâct¡ons ând Decimal Fractions
IIATH"
This work is derived from Eurekâ Mâth
G 5-M 4-ïE-t.3.0-0 5.20 I 5
'" and licensed by Great Minds. 02015 Great Minds. eureka math.org
537
@
Lesson 9
Problem Set
1.
Explanationswillvary.
3
2
a. Answer provided
b.4
c. 10
d. 80
e. 40
f. 27
a.
b.
c.
d.
3
4.
14oz
t2oz
2oz
Mr.Paul;2oz
tz!in
2
Exit Ticket
-3
J_.
5
2.a.8
b. 40
c. 10
Homework
1.
Explanationswillvary.
2.
a. Answer provided
b.2
c.9
d. 60
e. 25
f. 24
EUREKA
t^ltf
Module
3.
4.
4:
This work ls der¡ved
9in
a. I2oz
b. 10 oz
c. 2oz
d. Mr. Phillips;
olw;zlru
6 oz
Multiplicat¡on and Division of Fractions and Decimal Fractions
from Eurekâ Mâth '" and licensed by Great Minds, O2015 Great Minds. eurekô,math.org
GS-M.t-TE{.¡.0-05.20r5
538
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Lesson 10
Problem Set
1.
5
3
2.
J;
6; expressions willvary.
^2
2
f;
4.
exÞressions will vary.
c. 3^1i; expressions willvary.
d. 14; expressions willvary.
e.
f.
^-2
26:;
p
x7l+
5, 4 x
!,
and
I xI
circled;
explanations willvary.
exRressions will vary.
fr;
a.
,b.
3
exoressions will vary.
a.
b.
c.
>; explanations willvary.
>; explanations willvary.
>; explanations willvary.
5' a. I eallon; expressions will vary.
b. 3 | eallons; expressions will vary.
expressions willvary
c. 1] eallons; expressions will vary.
d. Data accurately displayed on line plot
e. 17 gallons
10 1; expressions will vary
Exit Ticket
1. a. Expressions will vary
b. Expressions willvary
2. 3; expressions willvary.
Homework
L.
2.
L
5
i;
6
f;
4.
expressions will vary.
exRressions will vary.
(6x 3)+ Sandf x ecircled;
explanations willvary.
3
5.
a.
b.
>; explanations willvary.
c.
>; explanations willvary.
a.
2
>; explanations willvary.
1"
4t
expressions will vary.
a.
b.
5; expressions willvary
b.
1
3; expressions willvary
c.
3
c.
7
d.
Line plot accurately drawn
d.
4; expressions willvary
e
19
e
39
f.
36; expressions will vary
ff;
f;
EUREKA
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exRressions will vary
3
4'
L
4'
expressions will vary.
expressions willvary.
f;
exRressions will vary
exRressions will vary
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
This work ls der¡ved from Eureka Math
G5-M 4-TE{.3.0-05-20t5
-
and licensed by Greât Minds, @2015 Great Minds, eureka-math.org
539
Lesson
A STORY OF UNITS
ll
Answer Key
@
Lesson 11
Problem Set
1.
1
2.
8pt
3.
68 oz
4.
2!2
5.
Answers will vary
I
Exit Ticket
3
J;
tane diagram drawn accurately
Homework
t.
25 min
2.
+lot
3.
fl3-|o
4
4.
31
5.
Answers will vary
2
EUREKA
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
fttAtH-
This work is derived
G5-M4-TF¡
from Eureka Math'" and licensed by Great M¡nds. @2015 Great Minds. eureka math.org
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Lesson 12
Problem Set
1.
a.
b.
2.
3.
4.
5.
6.
3
4
t7
76
Lillian; 26 min; bonus:
fr hr
2; story problems willvary.
6; story problems willvary.
12 in Mr. Smith's class; 10 in Mrs. Jacobs's class
Exit Ticket
6
Homework
L.
16 min
2.
-568or-
3.
L2
4.
Jacob; bonus:
5.
4; story problems willvary
6.
4; story problems will vary
273
EUREI(A
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Module
4:
Mult¡plication and Division of tractions and Decimal Fractions
¡s derived from Eurekâ Math
G5.M4-TE{.1.0-05.20tS
Thís work
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ãnd llcensed by Great Minds. O2015 Great Minds. eureka-math.org
541
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Lesson 13
Problem Set
1.
Accurate area modeldrawn
a.
Answer provided
.
11
L
b. -:-X-=6'2 3
-
L.
1.1., 1_
L2'4 3
-.-^
,
d.
2
LL
L
-:-X-=76'4 4
L77t
e. -:-x-=12'2 6
4 iti
4'3 "i=
4
3 x 1=
-L; corparison statements
12'
willvary.
t
6
3
1
t2
4.
1
t6
5.
12
I
accurate picture drawn
1
10
1"
L2
Exit Ticket
tlll
t.
I x : = :: accurate area model drawn
3 3 9'
2.7
L2
Homework
1.
Accurate area models drawn
a.
I
4
3.
b.!
6
c.
2.
4.
L
L
Lo'
accurate picture drawn
|; r..rr.t"
t
20'
picture drawn
accurate area model drawn
I
d.r
10
e.
r.
7
9
I
L2
EURH(A
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Module
4:
Multiplication and D¡vision of Fractions and Decimal Fract¡gns
fh¡s Mrk is der¡ved from Eureka Math '" and l¡censed by Great Minds. @2015 Great Minds. eureka-mãth.org
G5.M4-fÉ.1 .1.0.05.20ì5
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Lesson 14
Sprint
Side A1
1.
2.
3.
4.
5.
6.
7.
8.
9.
2
fifths
72.
2
23. 60 sixths
34. 90 sixths
3
fifths
13.
4 halves
24. 15 thirds
35.
24 fourths
4 fifths
14.
2
25. 30 thirds
36.
72 fourths
4 fifths
15.
6 thirds
26.
30 thirds
37.
32 eighths
3 eighths
16.
2
27.
15 fifths
38.
96 eighths
5 e¡ghths
t7.
10 fifths
28. 30 fifths
39.
L60 eighths
7 eighths
18.
9 thirds
29. 60 fifths
40.
224 eighths
7 eighths
19.
1"8
thirds
30.
45 fifths
41..
270 ninths
20. 8 fourths
3L.
45 fifths
42.
441 ninths
3
tenths
10. 7 tenths
11. 7 tenths
2L,
24 fourths
32. 18 sixths
43.
168 sevenths
22.
12 sixths
33.
44.
294 sevenths
2 sevenths
t2.
2
23. 24 fourths
34. 120 sixths
3 sevenths
13.
10 fifths
24. 15 fifths
35.
20 fourths
4 sevenths
t4.
3
25. 30 fifths
36.
60 fourths
4 sevenths
15.
9 thirds
26. 60 fifths
37.
24 eighths
3 tenths
L6.
5
27.
45 fifths
38.
72 eighths
7 tenths
t7.
L0 halves
28. 45 fifths
39.
120 eighths
9 tenths
1_8.
6 thirds
29.
15
thirds
40.
168 eighths
9 tenths
L9.
12 thirds
30.
30 thirds
4t.
3L5 ninths
3 eighths
20.
12 sixths
31.
30 thirds
42.
378 ninths
10. 5 eighths
2L.
60 sixths
32. 24 sixths
43.
147 sevenths
t7.
22.
8 fourths
33.
44.
336 sevenths
90 sixths
Side 81
1.
2.
3.
4.
5.
6.
7.
8.
9.
1
5 eighths
120 sixths
Note: Answers are given here in unit form for ease of reading. Students may answer in standard form
EUREKA
trATtf
Module
4:
This work is derived
Multiplication and Division of Fractions and Decimal Fractions
from Eureka Math '" and licensed by Great Minds, @2015 Great Mlnd3. eureka-math.org
G5.M4-TEn.3.0-0s.20ì5
543
E
Problem Set
1_.
Accurate models drawn and number
sentences provided
2
a. 3;t
b. 4;2
3
f,;
r..rrrt"
!
a
5
b.
L
c.
4.
2
d.
tape diagram drawn
1_
5
Explanations may vary; accurate picture drawn
1
3
3
e.
10
1.
1
6
Exit Ticket
L
2.
1
7'
accurate model drawn and numbersentence provided
1
I
Homework
1.
Accurate models drawn and number
sentences provided
2.
|; r."urrt" modeldrawn
a. 2;L
b. 4;2
3.
a.
b.
1
C.= 5
4.
All grandchildren received the same
amount; explanations may vary; accurate
picture drawn
b.
1
f.4
4
15
L
15
a.
d.tI
e.
L
5
5
15
EURH(A
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Module
Thi! work
4:
Multiplicãtion and Division of Fractions and Decimal Fractions
is der¡ved from Eureka Math
G5.M4-TEi.1.0.05.2015
'" ãnd llcensed by Gre¿t Minds.
@2015 Great Minds. eureka'math,org
s44
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Lesson 15
Problem Set
7. a.
f; ...urrt"
b.
c.
2
,ra;
model drawn and multiplication sentence provided
accurate model drawn and multiplication sentence provided
d.
ft; r..rrut"
e.
I
model drawn and multiplication sentence provided
accurate model drawn and multiplication sentence provided
b.
II
t
c.
!
a.
2
7
2
d.
3
Answer provided
1S
42
-105or-
4
! tb
5
a.
2
1
3
2 tons
b.
Exit Ticket
1.
2.
a.
I
accurate model drawn and multiplication sentence provided
b.
f;
accurate modeldrawn and multiplication sentence provided
3
zo
EUR,EKA
Module
4:
Multiplication and Divis¡on of Fract¡ons and Decimal Fractions
MATH
Th¡s work is der¡ved from Eureka Math
G5-M 4-TE{.3.0-OS.20tS
'" and l¡censed by Great M¡nds.
@2015 Great M¡nds. eurekâ-mãth.org
545
@
Homework
1. a. ]; accurate model drawn and multiplication sentence provided
b. fr; r..ut.t"
c. f;I
.3
d.
2.
a.
b.
c.
5
=i
model drawn and multiplication sentence provided
accurate model drawn and multiplication sentence pr.ovided
accurate model drawn and multiplication sentence provided
L
4
1
5
25
4A
d.st6
e.
f.
3
a.
b.
4.
1
5.
d.
t6
27
2
2L
1"
2
250 mL
2
1
10
b. 1r¡
2
EUREKA
ltAtrf
Module
4:
Mult¡pl¡cation and Divis¡on of Fract¡ons and Decimal Fractíons
This work is derived from Eurekã Mãth
G5.M4-TEi.t.O-OS.20l 5
'¡
ãnd l¡censed by Great Mihds. @2015 Great lvl¡nds. eureka-math.org
546
@
Lesson 16
Problem Set
1.
2.
3.
4.
5.
6.
7.
5; accurate tape diagram drawn
12; accurate tape diagram drawn
90; accurate tape diagram drawn
540; accurate tape diagram drawn
12; accurate tape diagram drawn
$12; accurate tape diagram drawn
36; accurate tape diagram drawn
Exit Ticket
84; accurate tape diagram drawn
Homework
t.
2.
8; accurate tape diagram drawn
Accurate tape diagrams drawn
a.
b.
c.
d.
e.
180
60
313
Less
than half
L26
EUREKA
TNAFI{
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
This work ¡5 der¡ved from Eureka Math
G5-M4.f Ê1.1.0-05_20t5
'" and licensed
by
creat Mihds. O2015 6reât Minds. eu¡eka-math.org
s47
@
Lesson 17
Problem Set
1. a. Answer provided
b. 0.4 x 0.3 =O.LZ; accurate area model
c. 0.1 x 1.4 =O.L4ì accurate area model
d. 0.6 x 1.7 = L.O2i accurate area model
2. a. 3.5
b. o.as; ff; o.ss
c. 0.035; 5, 7;
0.035
"o*å;
d. 1.8
e. 0.18
f. 0.018
g. 4.8
h. 0.48
i. 0.048
3.
4"
0.14 m
a. 1.5 mi
b. 1.75 mi
Exit Ticket
1. O.LxL.2=O.tTi accurate area model
2. a. 4.5
b. 0.45
c. 0.045
EUREKA
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
HåTH"
Th¡s work ir der¡ved from Eureka Math
G5"M 4-TEì.¡.0-Ol.20lt
-
and llcensed by Great Minds. @2015 Greãt Minds. eureka-math.or8
548
Lesson 17 Answer Key
A STORY OF UNITS
@
Homework
1. a. Answer provided
b. 0.6 x 0.2 =O.12; accurate area model
c. 0.1- x 1.6 = 0.16; accurate area model
d. 0.6 x 1.9 = L.L4i accurate area model
2. a. 2.4
b. o.za;ft;0.2a
c. 0.O24;4,6;L;O.O24
d. 2.1,
e. 0.21,
. 0.02L
c. 6.5
h. 0.65
i. 0.065
3.
4.
0.51
a.
b.
L
1..44mi
3.46 mi
f
EUREKA
TIATH"
Module
4:
Multiplication and Division of Frâctions and Dec¡mal Fractions
This work is derived from Eurekâ
G5-M4-fE-t 1.0-05 20t5
Math'r and l¡censed by Greât Minds. O2015 Great Minds. eureka math.org
549
@
Lesson 18
Sprint
Side A1
L.
2.
3.
4.
5.
6.
7.
8.
9.
L
fourth
12.
4 fifteenths
23. 10 fifteenths
13.
l twelfth
24.
l sixth
l eighth
l fourteenth
14.
2
twelfths
15.
6
1
fourteenth
l
35.
18 twentieths
25. 1 ninth
36.
6 twentieths
twelfths
26.
2 ninths
37.
l
16.
1 eighteenth
27.
4 ninths
38.
3 fortieths
sixth
17.
5 eighteenths
28. 6 sixths
39.
5
1 ninth
18.
10 eighteenths
29. 8 ninths
40.
9 sixteenths
1 eighteenth
L9.
10 twelfths
30.
10 ninths
4r.
12 eighteenths
20.
l twenty-fifth
31.
9
tenths
42.
18 eighths
21. 4 twenty-fifths
32.
3
twentieths
43. 49 seventy-seconds
twenty-fifths
33.
12
l fifteenth
10. l fifteenth
11. 2 fifteenths
22.
6
15
tenths
34. 15 twentieths
twentieths
forty-ninth
twenty-fourths
44.
63 ninety-sixths
Side 81
1.
1 sixth
t2.
4 fifteenths
23. 15 twentieths
34
10 fifteenths
2.
1 eighth
13.
l twelfth
24. 20 fifteenths
35
12 fifteenths
3.
1
tenth
14.
3 twelfths
25.
36
6
4.
1 eighteenth
15.
6
26. 3 sixteenths
37
L eighty-first
5.
1 eighteenth
16.
1 eighteenth
27.
9 sixteenths
38
3 fortieths
6.
L
77.
2 eighteenths
28. 12 twelfths
39
3 twenty-fourths
7.
18.
10 eighteenths
29. 15 sixteenths
40
4 ninths
19.
9 eighths
30.
18 sixteenths
4t
24 thirty-seconds
20.
l twenty-fifth
31.
16 eighteenths
42
12 ninths
10.
l fifteenth
l thirty-fifth
l fifteenth
l fifteenth
2L.
9
twenty-fifths
32.
2
fifteenths
43
48 sixty-thirds
L1..
2
fifteenths
22.
12 twenty-fifths
33.
8
fifteenths
44
56 eighty-fourths
8.
9.
tenth
twelfths
1 sixteenth
fifteenths
lNote: Answers written in unit form for ease of reading, but students may express answers in standard form.
EURH(A
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
mAlr,r
This work is derived from Eureka
G5-M {-TE1.3.0.05-20t5
Math '" and liceñsed by Great Minds. O2015 Great M¡nds. eureka-math.org
550
@
Problem Set
1.
a. Answer provided
b. 2.O7;2O7 hundredths
c. 18.48; 1,848 hundredths
d. 4.62;462 hundredths
3. a. Answer provided
b. 3.84;384 hundredths
c. L9.944; L9,944 thousandths
d. 26.25;2,625 hundredths or 26.250;26,250
a.
b. 2.L33;2,133 thousandths
c. 16.968; 16,968 thousandths
d. 0.462;462thousandths
4. $4.44
5. a. 15.75 sq. m
b. 39.375 sq. m
thousandths
2
Answer provided
Exit Ticket
a. 4.48
b. L.tz
c. 8.484
d. 0s24
Homework
1.
3. a. Answer provided
b. 4.83;483 hundredths
c. 25.L94;25,t94thousandths
d. 29.25;2,925 hundredths or 29.250;29,250
a. Answer provided
b. 2.64;264 hundredths
c. 14.08; 1,408 hundredths
d. 3.52;352 hundredths
thousandths
2.
a. 4,704 thousandths
b. 2.345;2,345thousandths
c. 12.928; 12,928 thousandths
d. 0.7O4; T04 thousandths
EUREKA
Module4:
4.
s19.2s
5. a.
b.
70.2 sq. m
175.5 sq. m
Multiplication and Division of Fract¡ons and Decimal Fractions
IúATlt'
This
wo.k
¡s
derived from Eureka Math
'" and licensed by Great M¡hds. O2015 Greãt Minds. eureka-mâth.org
551
@
Lesson 19
Problem Set
1. a.
Answer provided
2.
.T L 4
'3' 3' 3
b.
3.
72
L
or-23 yd
s+
3
b
'1_6
r"
d.
36
b.
L
c.
z4
a.
4.
L2
1"4
7
gal
t6a
-or-
5
e.
L6
tLt68or t!
f.
Exit Ticket
5
'a
L2
b. 1172
I
c.
16
d.
tLort!
168
Homework
1. a.
b.
^1,6
tt
3'3
c.
n
d.
tLortL
t26
e.
f.
2. a. 13or1tb
164
Answer provided
b.
5g
3. rå l¡
5
L6
4.
3 gal
7
16
t!L64or t!
r
o
Þ'
2
h.
2
EURETA
Module
4:
Mult¡pfication and Division of Fractions and Decimal Fractions
IIATH"
fhis work
GS-M
is der¡ved from Eureka Math
4.TEn.3.0.05.20r3
*
ãñd licensed by Greãt Mlnds. @2015 Great M¡nds. eureka-math,øg
552
Lesson 2o Answer Key
A STORY OF UN]TS
f!|
Lesson 20
Problem Set
t. a. Answer provided
2.
+1t
2
b.
II
3.
37 qt
c.
56
4.
yd
1sa
I2
d.
4
e.
21.6
f.
7?
2.
^3
z-mrn
3
4
9
Exit Ticket
a.
26
b.
1!4
c.
1!4
d.
44
Homework
1. a. Answer provided
4
b.
n
3.
t4
c.
46
4.
Yes, because the package weighs 15 lb
d.
3
e.
258
f.
21
5
b
3
4
4
EUREKA
Module
4:
Multiplicat¡on and Division of tractions and Decimal Fractions
MATH-
This work is derived from Eureka Math
G
5-M
4-rÉ-t.1.0-0
5.20
I 5
'" and licensed
by Great Minds. O2015 Greât Minds. eureka-math.org
553
@
Lesson 21
Sprint
Side A
1.6
2. 0.6
3. 0.06
4.9
15.
s.
0.9
6.
7.
8.
9.
10.
11.
t2.
23.
7.2
34.
2L
24.
0.L2
35.
0.24
25.
o.ot2
36.
24
0.14
26.
o.oL2
37.
4.2
r_6.
12
27.
35
38.
o.49
0.09
77.
7.2
28. 3.5
39.
0.048
8
1_8.
1..2
29. 0.35
40.
0.054
0.8
19.
o.t2
30.
0.035
4I.
4.8
0.08
20.
0.012
31.
0.035
42.
0.63
15
2L,
o.oLz
32. 16
43.
0.064
1.5
22.
T2
33.
1.8
44.
o.o72
L2.
o.L2
13.
18
L4,
1.8
L5.
0.18
L6,
1"5
L7.
1.5
18.
1.5
L9.
0.15
23. 1.6
24. 0.16
25. 0.016
26. 0.016
27. 45
28. 4.5
29. 0.45
30. 0.045
31. 0.045
32. 12
33. r.4
0.15
13. t4
14. I.4
Side B
1_. 8
2. 0.8
3. 0.08
4.6
5. 0.6
6. 0.06
7. I
8. 0.9
9. 0.09
20. 0.015
L0.
2t. 0.015
12
11.. r.2
EUREI(A
22.
Module
4:
16
Multiplication and Division of Fractions and Decimal Fractions
M/ilÎH-
fhis work
G
S-M
is derived from Eureka
4-TEn.l.0-03.20r5
Math'" and l¡censed by Great Minds.
@2015 Great M¡nds. eureka-math.org
34. 24
35.
o.27
36.
32
37.
4.2
38.
0.36
39.
0.048
40.
0.054
41.
4.8
42.
0.63
43.
0.049
44.
o.o72
554
@
Problem Set
L. a.
2.
3.
4.
Answer provided
b
Z
c
T
7
-
5
d. Answers will vary.
2s
a. 100
= o.25
b.
L
100
100
.420
d.
-x520
100
1S
e. -x205
100
20
80
5
Answers willvary.
r
1
I 2xzx2
5x5x5
5x5xs
SxSxs
(2x5)x(zxs)x(2x5)
o.125:1=
=g
'4 0.25 = 0.250
1000=
= 250 thousandths;
I ir nrf of|,
and half of
250 thousandths is 125 thousandths,
= o.7s
120
c. -X520
No; answers willvary.
so 1 = 0.125.
I
0.20
0.80
0.05
f.-275-x205 =S=1.35
100
725
s. -x!,75
=77s
25
100 =
.820
h. -x520
.244
r. -x254
.932
r.
'502-x-
160
= 100 = 1.60
96
100
186
= 100
0.96
= 1.86
k. z!x!
2s4 = 2L
100 =2.24
l.
891x3
100 =3.62
502 =362
Exit Ticket
t
:
2
a.
5
1
4
xzs-2s=0.25
25 100
b.?5210
x?=!= 0.40
c. ax1=rz =o.!2
25 4
d.
100
_X 525
5
20
EUREKA
5
100
0.25
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
TTATT.]
lhis work ¡s der¡ved from Eurek¿ Math '" and licensed
4-TEl.l.0-05.20ì5
G S-M
bV
Greåt Minds. @2015 Greât M¡nds. eureka-math,org
555
Lesson
A STORY OF UNITS
2l Answer Key
@
Homework
t. a.3
b.Z
c. !:5' 1o
d. Answers will vary
a. 75; O.75
2
7
b.
2s
L 00
= o.25
c.
2LO
; x?=!=o.4
d
1
e.
f.
t
ö.
h.
x?=!=o.G
2lo
5
3
20
2S
15
xq=
5 100 =0.1-5
s r2s 7.25
20
5
-X
100
89
492
4 100
2 I78
50
2
23
2S
too
4
3rt X- = gaa
2S
4
100
0.92
'J..78
= 3.44
2
54L
50
X_ =582 =5.82
2
100
9=1x2s-lt
4.
=o-lS
a425100
Answers will vary
5.
SO.¡t or 3L cents
3.
EUR,EKA
Module
4:
Multiplication and Divis¡on of Fractions and Decimal Fractions
IIATH"
This work is derived from Eureka t\¡ath
4-T€-1.1.0-0 5.201 5
G 5-M
'" and licensed
by Great Minds. @2015 Great Minds. eurekâ-math.org
556
@
Lesson 22
Problem Set
1. a. J
4. a.
s = 4;)circled,S boxed;4
"
b. I x! = 4; 8 circled, I boxed; +
2. a. Accurate tape diagram shown
b. Accurate tape diagram shown
3. a. Any number less than 4
b. Any number less than 7
Any fraction greater than 1; answers will
vary.
b.
Any fraction less than 1; answers will vary
5.
6.
Answers willvary.
5.
a.
Any number less than 1
b.
Explanationswillvary
25.5 in
7' loouit;rfttuyrlt
c.5
Exit Ticket
a. Any number greater than 3; answers will vary
b. Any number less than 8; answers will vary.
c.2
Homework
L,
2.
3.
a. J" e=2;]circled, 6 boxed; 2
b. 6 x 1= 2; 6 circled, J boxed; z
a. Accurate tape diagram shown
b. Accurate tape diagram shown
a.
6.
7.
3
17 yd
åo
ou
jn;)nbyåft
Any number greater than 3; answers will
vary.
b.
4.
Any number greater than 6; answers will
vary.
c.5
a. Any fraction greater than 1; answers will
vary
b.
Any fraction less than 1; answers will vary
EUREKA
Module4:
Multiplication and Division of Fractions and Decimal Fractions
mAtït-
fhis work
¡s
der¡ved from Eureka Math
-
and licensed by Great M¡nds, @2015 Great Minds, eureka-math.org
557
E
Lesson 23
Problem Set
1. a. 1.00
b. r.o2t
c. 0.989
2. a. Less: 602 x 0.489, 0.3 x 0.069, 0.2 x 0.1
3
Greater: 13.89 x L.004,102.03 x 4.0L5,
0.72x t.24
b.
4.
a.
b.
c.
d.
e.
ls slightly less than; explanations
willvary.
ls slightly more than; explanations
willvary
ls a lot less than; explanations will vary.
ls slightly more than; explanations will vary
ls slightly less than; explanations
willvary.
Dhakir's is longest; Carson's is shortest;
explanations willvary.
Answers willvary.
5
Greater than 1; examples will vary.
Less
than L; examples will vary.
Exit Ticket
2.
1. a. 0.898
b. 1.00
c. 1-.009
Slightly less; explanations will vary
Homework
L. a.
Less: 828 x0.92L,0.05 x 0.1
Greater: 12.5 x 1,989,32L46xL.26,
0.007xL.02,2.76x1.11
b.
2. a.
b.
3. Kayla, Jonathan, Rachel; explanations willvary
4. a. Greater than 1; examples will vary.
b. Less than 1; examples willvary.
Explanations will vary.
ls slightly less
than; explanations will vary
ls slightly more than; explanations
will
vary.
c.
d.
ls a lot less than; explanations willvary.
ls slightly more than; explanations
will
vary.
e.
ls slightly less than; explanations
EUREKA
I¡IATIT.
Module
4:
This work is der¡ved
will vary
Multipl¡cat¡on and Division of tractions and Decimal Fractions
from Eureka Math '" and l¡censed by Great Minds, O2015 Great M¡nds. eureka-math.org
G5.M4.Te1.3.0"05.20t5
558
Lesson 24 Answer Key
A STORY OF UNITS
E
Lesson 24
Problem Set
7. 2.5 mL
2. 440 or 0.525 L
3. 20.25 min
4.
5.
6.
4,59O.72 m
20
s266
Exit Ticket
L.
2.
3.725 kg
L0
Homework
L.
2.
3.
4.
5.
6.
14.375 lb
0.225 cm
38 mi
EUREKA
MATH"
Module
4:
521.5,942.65
108
s142.60
Multipl¡cation and Divis¡on of Fractions and Decimal Fractions
This work ¡s derived from Eureka Math
G5-M4-TE-l I O-O9 2015
''
and licensed by Great M¡nds. @2015 Great Minds. eureka-math.org
559
@
Lesson 25
Problem Set
L. a. 8;2; 8;8; accurate tape diagram drawn
b. 8;4;8;8; accurate tape diagram drawn
c. 15;3; L5; 15; accurate tape diagram drawn
d. 15; 5; 15; 15; accurate tape diagram drawn
2. Accurate check shown for each
a. 10
e. 16
b.6
1.42
g. 24
c. 20
d.6
h.36
3. 20
4. a. 18
b. 60
c. 32
5. L2gal
Exit Ticket
L a.
b.
2. Yes
tO;2;
1.O;1-0;
accurate tape diagram drawn
16;4;1.6,4; t6; accurate tape diagram drawn
Homework
1. a. 9;3;9,9; accurate tape diagram drawn
3.
b. t2; 4;12,3; L2; accurate tape diagram drawn 4.
c. t2;3; 12, 4; 12; accurate tape diagram drawn
d. 20; 4;20,5; 20; accurate tape diagram drawn
2. Accurate check shown for each
a. 8
e. 1-8
b. t2
f. 18
c. 20
C. 30
d. 40
h. 60
EUREKA
Module
4:
24
24bags of nuts,20 bags ofcherries, and24
bags of dried
fruit
Multiplication and Division of Fractions and Decimal Fract¡ons
MATT{
This work is der¡ved
from Eureka Math'" and licensed by Great M¡nds. o2015 Greãt M¡nds. eurekâ-math.org
560
lesson 26 Answer Key
A STORY OF UNITS
@
Lesson 26
Problem Set
1.
Model or tape diagrams drawn
a.
7
6
3.
f; Ri.trr"
4.
a.
b.t lz
c.; I
5.
o
d.L !2
2.
1
l(,
drawn
gal
b.
l-c
a.
l2
b.
$2s.so
I
Accurate checks shown
a.
b.L
c.
t
l4
18
1
20
d.t 20
e.
f.
aÞ'
I
10
1
18
r
L6
h.7 100
Exit Ticket
L.
Model or tape diagram drawn for each
a.
b.
2
I
I
1
40
1
L2
EUREKA
Module
4:
Multiplicat¡on and Division of Fractions and Decimal Fractions
TTATH"
This
G
5-M
work is der¡ved from Eureka Math'" and licensed by Great Minds. O2015 Great M¡nds. eureka'math.org
4-ïEi.l.0-05.20 ¡5
561
Lesson 26 Answer Key
A STORY OF UNITS
@
Homework
7.
Model or tape diagrams drawn
a.
b.
c.
d.
2
!I
I
t..
3.
-L6 mrle
4.
a.
b.
18
2
15
105 pages
L
l2
I
10
Accurate checks shown
a.
L
20
b.r40
c.
d.L
e.
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EUREKA
MATH"
Module
4:
Mult¡pl¡cation and Division of Fractions and Decimal Fractions
This work is der¡ved from Eureka
G5-M4-TE-t I 0-05 2015
Math'" and licensed
by Great M¡nds. O2015 Greât Minds. eurekå math.org
562
@
Lesson 27
Problem Set
1. 12; accurate model shown
2. f; r..ur.t" modelshown
3.
a.
fr r; u..utute modelshown
4.
b.
5cm
a.
fi
b.
100|b
5.
6.
t; accurate model shown
a.
b.
a.
30 sixths
6in
1
L6
b.
48fl oz
c.
_15
J-C
!6
Exit Ticket
L.
2.
12 fourths; accurate model shown
|;
accurate modelshown
Homework
t.
32; accurate model shown
2. );
model shown
"rrur^t
3. a. f U accurate modelshown
b. 50 mL
4.
a. 20 fifths
b. 20 cm
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Module
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72oz
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3lb
Multiplication and Div¡sion of Fractions ând Decimal Frâctions
is der¡ved from Eurekã Math
4-TE{.3.0-05.201S
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563
@
Lesson 28
Problem Set
1.
Answers willvary; 20
2.
Answers
willvary;
fr
3. a. Answers will vary; 6
b. Answers willvary; f
c. Answers willvary; f
d.
Answers willvary; 15
Exit Ticket
a.
b.
Answers willvary; 8
Answers
willvary;
I
Homework
t.
Answers
willvary
14
2. Answers willvary; I lb
3. a. Answers willvary; 8
b. Answers will vary; f
c. Answers willvary; f
d. Answers willvary; 30
EUREKA
Module
4:
Multiplication and Division of Fractions and Decimal Fractions
ttAtl.|.
This work is der¡ved from Eureka Math
G5-M 4-f E{.3.0.05-20!5
n and l¡censed by Gre¿t Minds,
@2015 Great Minds. eureka-math.org
564
@
Lesson 29
Problem Set
1
a. 5**=50;10;50
b. 8 *
8o; 1o; 8o
-1=
c. 5.2+1=52;50;2;52
d. 8.7+1=87;80;7;87
e. 5 *
500; L00; 500
"rr1=
f. s+*=8oo;100;8oo
g. 5.2 + -! =52A;500; 20; 520
h. 8.7 +-1- =870;800;70;870
2. a.
b.
c.
d.
e.
f.
3.
4.
5.
60
180
600
L7
3,100
1,100
C.
L,254
h.
i.
374
1,250
46
Cheryl; answers willvary
20
Exit Ticket
L.
2.
3.
4.
5.
83;830
2,800;280
2,674
63,298
1,509
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Module
4:
This work is der¡ved
Multiplication and Divisíon of Fractions and Decimal Fractions
from Eureka Math rx and licensed by Great Mlnds. O2015 Greãt Mlnds. eureka-math.org
G5-M4-TEl 3.0.05.20r5
565
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Homework
L
a. 9**=90;10;90
b. 6 **= 6o; 10;60
c.
d.
e.
f.
g'
h.
s.S
+fr=36;30;6;36
12.8 +
*= rrt, L2o;8; L28
* r-1= 300; 100; 300
7*h=7ao;100;700
3
4.1
+L=
11.3 +
ioOl
47Oi4OO;7A; 470
= l,fgO; 1,100; 30; 1,130
2. a. 20
b. 230
c. 500
d. 72
e. 5,100
f. 310
g. 2,3LO
h. 437
i. 2,450
3. L,260
4. Geraldine; answers willvary
s.
EUREI(A
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Module4:
sL32.64
Mult¡pl¡cation and D¡vision of Fractions and Decimal Fractions
This work is derived from Eurekã Math
GS.M a-f E-1.1.0.0 5.20ì5
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and licensed by G¡eat M¡nds.
02015 Great M¡nds. eureká-mãth.org
566
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Lesson 30
Sprint
Side A
1. 14
2. 16
3.! I
4.
1
14
12.
13.
35
1
35
23. 16
24.
34.
r.8
!
35.
36
9
L4.
!
25. ?
36.
49
15.
6
26. 1
37.
64
16.
!I
27.
II
38.
81
6
9
I
5. L4
6. t2
7. L0
8.6
9. 10
19.
10
30.
20.
L2
31.
10.
15
21.
11. 20
22.
L7.
18.
8
1
10
L
!2
t
16
28.
29.
32.
33.
L
10
3
10
7
L2
5
L2
5
1
7
18
39.
40.
4L.
L
56
72
L
56
42. 42
43.
44.
63
1"
72
Side B
t.
2.
3.
4.
t
4
7
15
t
20
t
35
L2.
L3.
T4
L
L4
23.
24.
34.
30
t
35.
24
36.
42
t6
t4. !I
25.
15.
8
26. 1
16.
!
27.
28.
29.
5.
35
6.
30
L7.
6
7.
25
18.
!4
6
15
19.
4
30.
9.
4
20.
T2
31.
10.
6
2t.
Lt.
I
22.
Module
3
L6
9
8.
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32.
33.
I
4:
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9
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12
5
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1
25
3
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3
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30
Multiplication and Division of Fract¡ons and Decimal Fract¡ons
MATIf
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from Eureka Math'" and llcensed by G.eat lvllnds. O2015 Great M¡nds. eureka-math.org
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37. 56
38. 72
39. 64
1
40. 81
4T. 72L
42.
49
43.
54
44. 4AL
567
Lesson 30 Answer Key
A STORY OF UNITS
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Problem Set
1. a. Answer provided
b.
d.
e.
f.
o
b.
h.
3.5
0.05'
0.7'
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3. a.
90
3.5
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2.
7
7
Exit Ticket
a
b.
c.
d.
3.2
0.8'
3'z
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EUREKA
MATH-
Module
4:
This work is derived
Multiplication and Division of Fractions and Decimal Fractions
from Eurekã Math 'r ånd licensed by Great M¡nds. O2015 Great Minds. eureka-math.org
G5-M4-ïE-l 3.0-05 20r5
568
Lesson 3o Answer Key
A STORY OF UNITS
f!|
Homework
1. a.3
b.
c
d.
2.
3. a.8
30
4,A
o.6'
Leann is incorrect; answers will vary
b.
8
o'**'
0.06'
4.
8
16
15
e. Y:72
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EUR.EKA
Module
4:
Multipl¡cation and Division of Fractions and Decimal Fractions
MATH"
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work is derived from Eureka Math'" and licensed by Great Minds. O2015 Great Minds. eurekâ math.org
G5-M4-TEi.t.0-05 20r5
569
@
Lesson 31
Problem Set
1. a.
b.
53.2 + O.+
L.si2
+o.s
=4=
=
b'
2i L.9
1! =
2. a. 9.42+ 0.03 = I
b.
3. a.
130; 133
L54
ff,'s
c. Ç;t.t
= 300; 314
d. 15601
24' 65
39.36+0.96=T=ao;qt
4.
5
a.
b.
27
2L
6
Exit Ticket
7
6.39 + 0.09 =
2.
82.L4 +O.e =
=
60
T
=r}1639
+ 9 = 71
tllo !4o; 82L4 +60 136.9
=
Homework
7.
2
a. 61".6 + 0.g = 6Ð = go;77
b. 5.74+o.l =ï=8;8.2
a.
4.74+0.06 = Y=SO;79
6
b.
L9.44+ 0.54 =
2#=
50
3. a.
b. fftso
c. ff;z+.s
d. ff' ls
4o;36
4.
5.
EUREKA
MAflI'
Module
4l
64
54 green; 36 purple
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Multiplication and Division of Fractions and Decimal Fractions
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GS-M4.TE{-3-0.0 5.1óì s
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570
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Lesson 32
Problem Set
7
(3+2)+lcircled
2.
å
and 28 +
7
(1- fr)
6
circled
3.
Answers willvary.
4.
3(a); explanations will vary.
a. L2
b.:
c.
d.
e.
5.
Answers willvary.
6.
5(a); explanations will vary.
r.
8.a
1
\2
1
2
3
40
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3
b.
? x(20
a.
30
3
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Exit Ticket
t. Answers willvary.
2. a. Answers willvary.
b.
3.
Answers willvary.
2(b); explanations willvary
Homework
t.
(7
2'
o,. (:.i)
5.
-4l+lcircled
and
¡ft
b.
circled
Answers willvary.
3(a); explanations will vary
6.
EUREKA
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7
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3.
4.
f
100
d.
z
e.
400
a.
Answers will vary
b.
32- s -:(32 - s) circled
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Mult¡plication and Division of Fractions and Decimal Fractions
MATlf
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Math'" and licensed by Great M¡nds.
@2015
6¡eat M¡nds. eureka-mãth.org
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Lesson 33
Sprint
Side A
1.
2.
3.
4.
5.
6.
7.
8.
9.
70
12. 1,000
13. 2,000
14. 8,000
15. 10
10
L6.
100
27
100
77.
200
28. 4,000
39.
400
200
18.
900
29. 4,700
40.
80
600
19.
500
30.
5,900
4L.
70
1
20. 5,000
31.
30
42. 40
10.
10
2r.
6,000
32.
300
43.
L2.L
L1..
100
22.
2,000
33.
320
44.
32t
23. 40
24. 4
25. 0.4
26. O.7
27. 500
28. 5,000
29. 5,300
30. 6,800
3L. 20
32. 200
33. 230
34.
35.
236
3
36.
3
1
10
20
23.
34.
325
24. 5
35.
5
25.
0.5
36.
5
26.
0.8
37. 50
400
38.
90
50
Side B
L.
L0
t2.
1,000
2.
10
13.
2,OOO
3.
20
t4.
9,000
4.
80
5.
10
6,
100
7.
200
8.
700
15. 10
16. 100
L7.200
18. 700
L9. 400
L
1
20. 4,000
L0.
10
2L.
5,000
'J.L.
100
22.
8,000
EUREKA
MATI,T
Module
4:
This work is derived
Mult¡plicat¡on and Div¡sion of Fractions and Decimal Fractions
from Eureka Math '" and l¡censed by Great M¡nds. O2015 Great M¡nds. eurekã-ñath.org
GS-M4-T€-t.l.O-05.20t5
37. 30
38.
80
39.
400
40.
70
4L.
80
42.
30
43.
L2.L
44.
2tt
572
Lesson 33 Answer Key
A STORY OF UNITS
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Problem Set
r. a. t2tL
b. I L
4
L
a.
b.
90
360
2
2.
3.
a.
7
b.
t
c.
T4
a.
18
b.
6
4
hl. or" 15 min
5
Answers will vary
6
Answers will vary
Exit Ticket
a.6
b. t2
Homework
1
1.
2
3
4
a. -kp
l5
b. t1 te
a. L9
b. 38
a. 13
b.6
EUREI(A
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Module
4:
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b.
Answers will vary
Answers will vary
Answers will vary.
Multiplication and Division of Fractions and Decimal Fractions
TüATH"
This work ¡s derived from Eureka
G5-M4-rE-l t.O-05 20t5
Mâth'* ând licensed
by Great Minds. O2015 Great Minds. eureka-math.org
573