Name
Test Date
Parent Signature
Multiplying Fractions Study Guide
7. Find the product and write answer in simplest
form.
5.NF.6 Solve real world problems involving multiplication of fractions and mixed
numbers, e.g., by using visual fraction models or equations to represent the
problem.
5 X 1
12
Directions: Solve each problem without a calculator.
1, Enter the correct answer in the space provided.
X
6
8. Find the product and write answer in simplest
form.
8
10
8
9. Which picture models 3 x -
2. Find the product.
r
3. Find the product.
4. Find the product.
2
1
1
x
i s
10. Five friends are each eating a bag of gummy
bears. Each friend ate 2/3 of their own bag. Use the
model below to help answer the question.
5. Find the product and write answer in simplest
form.
2
;
x
* s
ft t) t) f) f)
How many bags of gummy bears did they eat
altogether?
A. j § of a bag of gummy bears
6. Find the product and write answer in simplest
form.
B. 2 bags of gummy bears
l
2
\
4
X
4
C. 3 - bags of gummy bears
D. 5 bags of gummy bears
13. In a survey, - of 3 0 0 people said they are in
11. Cole built a bird feeder that holds -
pounds of
1
birdseed. Paula built a bird feeder that holds 2 2
times as much birdseed as Cole's bird feeder.
favor of a new parking garage downtown. How
many people are in favor of the new parking
garage?
Which equation can be used to find the number
of pounds of birdseed that Paula's bird feeder can
hold?
A
B
r
n
U.
5
4
x
5
-
^
8
2
8*2
5
5
5x5
* 8
14. Carole used 3 - cups of butter for baking.
4
l
The amount of sugar she used was - of the
amount of butter she used. How much sugar, in
cups, did she use?
2 ~ 8 * 2
5
4
5
16
5 x 16
8
2
8
8
8
5
—
8
5
—
2
5
—
8
X
&
X
A.
1
1 — cups
1
20
5 * 20
—
s
8
8
B.
1 - cups
C.
2 p cups
D.
3—cups
1
12. Use the fraction model to answer the question.
*
* * S
*
*
s• •*
r* * / S
•
•
•
*
15. Aikong spent 3/8 of his time studying
science. He spent 2/5 as much time studying
English as science. What fraction of Aikong's
study time was spent studying English?
•
Of the students in Ms. Fisher's class, - play a sport.
6
2
Of the students who play a sport, - play soccer.
3
What fraction of the students in Ms. Fisher's class play
soccer?
B.
10
18
C.
10
15
D.
5
6
1°
16.
Mr. Harrison made sandwiches for a picnic.
l
Of the sandwiches he made, — of them were
6
turkey sandwiches. Mr. Harrison added cheese to
l
- of the turkey sandwiches he made. What
fraction of the sandwiches made by Mr. Harrison
had both turkey and cheese?
I lie M I U U U L L
UI
~ rfflll U
23. Cody completed two multiplication problems.
1
6 x The first problem is
4 . The second problem
L
4
e x is
3. Which statement explains how the
answers to the two problems compare?
1
A.
x ~
6
The product of this expression will be
x ~
3 will be
x —
6
x—
4 will be greater than 6, and
less than 6.
6
D.
Complete this sentence:
4
4 will be greater than 6, and
greater than 6.
6
C.
a *
6 x ~
6 x 4 will be less than 6, and
3 will be
less than 6.
6
B.
25. Use the expression to answer the question
x —
6
3 will be
x—
4 will be less than 6, and
greater than 6.
3 will be
1*1
24. Diana says that the product of 5
greater than 1.
the size of a.
26. Craig has a yellow jug, a red jug, and a blue
jug. The blue jug holds 2/3 of a gallon.
2
3
x
X
3 _6
3 9
A. Maritza has a blue jug that holds 6/9 of a
gallon. Craig says that his blue jug holds the
same amount as Maritza's blue jug. He uses the
equation below to support his statement.
Explain why Craig's equation supports his
statement.
5 is
Which statement explains whether Diana is
correct or incorrect?
A. Diana is correct, because 3 * 4 is 12 and
12
— is greater than 1.
B. Diana is incorrect, because both numbers are
less than 1, so the product will also be less
than 1.
!•!
Spiral Review (2pts each)
27.0.2 x 0 . 5 =
C. Diana is correct, because 5 5 \ greater
than 1 and multiplication creates larger results
than addition.
s
D. Diana is incorrect, because multiplying by a
fraction always yields a product less than 1.
28. 12.4 + 124.83 =
29.
173.8
T
30. 75 - 8.4 =
22 =