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Math Problems
Grade 7
Divide fractions and mixed numbers: word problems
Mr. Hoover measured two pieces of elastic for a science experiment. The indigo piece of elastic was
18
1
8
18\frac{1}{8}
18
8
1
inches long and the teal piece of elastic was
11
11
11
inches long. How much longer was the indigo piece?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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The chef of a pizza place used
8
3
4
8\frac{3}{4}
8
4
3
packages of pepperoni and
1
4
\frac{1}{4}
4
1
of a package of sausage. How much more pepperoni than sausage did the chef use?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ packages
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Gabe made
1
2
\frac{1}{2}
2
1
of a liter of hot chocolate. Each mug holds
1
4
\frac{1}{4}
4
1
of a liter. How many mugs will Gabe be able to fill?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ mugs
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Darrell made
1
2
\frac{1}{2}
2
1
of a liter of hot chocolate. Each mug holds
1
8
\frac{1}{8}
8
1
of a liter. How many mugs will Darrell be able to fill?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ mugs
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Every day, Bruce's burrito stand uses
1
1
2
1\frac{1}{2}
1
2
1
bags of tortillas. How many days will
7
1
2
7\frac{1}{2}
7
2
1
bags of tortillas last?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
days
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Emmy's Cafe uses
2
1
2
2\frac{1}{2}
2
2
1
bags of coffee every day. How many days will
7
1
2
7\frac{1}{2}
7
2
1
bags of coffee last?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
days
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Harry rented an ATV to drive up a mountain. He drove
41
5
\frac{41}{5}
5
41
miles in
3
4
\frac{3}{4}
4
3
hours. If he travels at a constant rate, how many miles will he drive in
1
1
1
hour? Write your answer as a mixed number, simplified fraction, or an exact decimal.
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\#
13
13
13
\newline
Check
\newline
Skills Review
\newline
Listen
\newline
REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
\newline
\begin{tabular}{|l|l|}
\newline
\hline Weight
(
l
b
)
,
x
(\mathrm{lb}), x
(
lb
)
,
x
& Dosage
(
m
g
)
,
y
(\mathrm{mg}), y
(
mg
)
,
y
\\
\newline
\hline
94
94
94
&
72
72
72
\\
\newline
\hline
119
119
119
&
90
90
90
\\
\newline
\hline
135
135
135
&
103
103
103
\\
\newline
\hline
150
150
150
&
115
115
115
\\
\newline
185
185
185
&
140
140
140
\\
\newline
\hline
202
202
202
&
156
156
156
\\
\newline
\hline
\newline
\end{tabular}
\newline
a. Find an equation of the line of best fit. Round the slope and the
y
y
y
-intercept to the nearest tenth, if necessary.
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Ana drinks horchata out of glasses that each hold
1
8
\frac{1}{8}
8
1
of a liter. She has
7
10
\frac{7}{10}
10
7
of a liter of horchata in her refrigerator.
\newline
How many glasses of horchata can she pour?
\newline
□
\square
□
glasses
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Hooke's law states that the force needed to stretch a spring is proportional to the amount the spring is stretched. If
10.00
N
10.00 \mathrm{~N}
10.00
N
stretches a certain spring
5.0
c
m
5.0 \mathrm{~cm}
5.0
cm
, how much will the spring be stretched by a force of
9.00
N
9.00 \mathrm{~N}
9.00
N
?
\newline
A force of
9.00
N
9.00 \mathrm{~N}
9.00
N
will stretch the spring by
□
\square
□
centimetres.
\newline
(Simplify your answer. Type an integer or a decimal.)
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4
4
4
\newline
1
1
1
point
\newline
Solve for
x
x
x
\newline
Type your answer...
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Problem Lian's dog eats
1
20
\frac{1}{20}
20
1
of a bag of dog food each week. Lian currently has
5
8
\frac{5}{8}
8
5
of a bag remaining. How many weeks will it take Lian's dog to finish this remaining food?
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Ana drinks
h
o
r
c
h
a
t
a
horchata
h
orc
ha
t
a
out of glasses that each hold
1
8
\frac{1}{8}
8
1
of a liter. She has
7
10
\frac{7}{10}
10
7
of a liter of horchata in her refrigerator. How many glasses of horchata can she pour
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