Unit 4 Practice Problems

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Unit 4 Practice
Problems
MCC.4.NF.a-c: Multiplying Fractions
Write the multiplication problem:
Model this multiplication sentence
using circles.
5x
𝟓
𝟖
Solve.
6x
a)
b)
c)
𝟕
𝟓
𝟔
𝟑𝟎
𝟔
𝟓
𝟏
𝟓
Wanda is making 7 bracelets.
𝟏
Each bracelet will use yards
𝟔
of ribbon. How many yards will
be used to make 7 bracelets?
The hair stylist had 14 customers
on Thursday. One-seventh needed
haircuts. How many customers
needed haircuts?
a)
b)
c)
d)
7 customers
1 customer
2 customers
9 customers
Fred was given 10 ten pitches and
𝟏
hit of them. George was given 10
𝟐
𝟏
𝟓
pitches and hit of them. Fill in
the sentence:
Fred had ___ hits and George had
__ hits. (number)
________had more hits than
________. (name)
𝟐
𝟑
• Each student gets of a cup of juice. If
there are 7 students in the class, how
many cups of juice are needed?
• Between which two whole numbers
does your answer lie?
• _______ and _______
1) Divide each bar into 4 equal
sections.
𝟏
𝟒
2) Shade in of each bar.
3) How many fourths are shaded?
Solve.
9x
a)
b)
c)
𝟐
𝟏
𝟓
𝟒
𝟏
𝟓
𝟏
𝟗
𝟓
𝟏
𝟓
It is Mrs. Faerber’s 27th birthday and
her class is celebrating! There are 24
students in her class. One-fourth of
the students chose to have cookies.
Half chose cupcakes and two-sixths
chose brownies. How many students
chose cookies?
a) 6
b) 1
c) 12
d) 8
I made the following tile stack:
-4 yellow, 4 blue, and 8 green
What fractional part of the row is
green?
a)
b)
c)
𝟖
𝟏𝟓
𝟒
𝟖
𝟏
𝟐
Sammy has a dozen marbles. Two
are multi-colored. One of them is
orange. Five are black, one is red,
and the rest are blue. What
fractional part of Sammy’s
marbles are blue?
Lauren has 8 dresses in her closet.
One is striped. Four are polkadotted and three are silk. What
fractional part of Lauren’s dresses
are polka-dotted?
a) one-eighth
b) Three-eighths
c) Four-eighths or one-half
What is another way to write
a)
𝟔
𝟏𝟔
b) 8 x 2 x
c) 16.6
𝟏
𝟔
𝟏𝟔
𝟔
?
Solve.
10 x
a)
b)
c)
𝟏
𝟑
𝟑
𝟏𝟎
𝟑𝟎
𝟑𝟏
𝟑
𝟏
𝟑
Scoring for Independent Work:
12-15 Correct: You have shown that you know
how to multiply fractions! Review these
problems again before the test!
8-11 Correct: You have a good foundation, but
in order to do really well on the test you need
to go over each problem before the test!
1-7 Correct: You need to spend time going over
each problem and studying the ways to solve
them. You need to study each problem at least
2 times each that you missed!
There are 24 students eating at the
picnic. One-half of the students had
hot dogs. One-third as many
hamburgers were eaten than hot
dogs. One-half as many steaks were
eaten than hamburgers. How many
students ate steaks?
a) 1
b) 2
c) 12
d) 4
There are 18 stars. Separate the stars into 3
𝟐
equal groups to find of 18.
𝟔
a. 3
b. 6
c. 18
𝟒
𝟓
Each bottle can hold cups of water.
Tripp has 4 bottles. How many cups of
water is that?
a)
𝟒
𝟐𝟎
b)
𝟏𝟔
𝟓
c)
𝟓
𝟏𝟔
The tree in our backyard is
𝟏
growing 𝟐 yards each week. How
𝟖
tall will the tree be at the end of 5
weeks?
Solve.
6x
a)
𝟔
𝟒
b)
𝟔
𝟐𝟒
c)
𝟐𝟓
𝟒
𝟏
𝟒
I have 7 containers. Each container
𝟑
will be filled with of a cup of
𝟒
juice. How many cups of juice will
be in 7 containers?
Step 1: Draw a visual fraction
model.
Step 2: Write a number sentence
for the problem.
Use the model to help you solve:
𝟓
𝐱𝟔
𝟔
Answer:_____________________
Construct the fraction bar using
these fraction clues:
One-half is red; one-fifth is blue;
three-tenths are green.
Show your thinking using words,
pictures, or numbers:
Janice made 6 pies. One-third of
them were cherry. How many pies
were cherry?
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