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Math Problems
Grade 6
Add, subtract, multiply, or divide two fractions: word problems
Mr. and Mrs. Ryan are working together to wash all the windows in their house. The following equation can be used to find
h
h
h
, the number of hours it will take them to finish the job.
\newline
h
6
+
h
3
=
1
\frac{h}{6} + \frac{h}{3} = 1
6
h
+
3
h
=
1
\newline
How long will it take Mr. and Mrs. Ryan to wash all the windows?
\newline
Write your answer as a whole number or as a fraction or mixed number in lowest terms.
\newline
____ hours
\newline
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Hayley invited a friend over for dinner. She wants to make personal pies to serve for dessert. Hayley makes
1
1
5
1\frac{1}{5}
1
5
1
cups of dough to use for the crust and splits the dough evenly between
2
2
2
pies. How much dough does Hayley use for each pie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ cups
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Lisa is growing her own plants from seeds. She opens a
4
4
4
-kilogram bag of soil and begins to fill her pots. Each pot holds
1
1
3
1 \frac{1}{3}
1
3
1
kilograms of soil. How many pots does Lisa fill? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pots
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At the Lawrence Ski Resort, it snowed
4
11
12
4\frac{11}{12}
4
12
11
feet yesterday and
1
1
1
foot today. How much more did it snow yesterday than today?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ feet
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As part of a lesson on earthquakes, a science class is researching the movement of a nearby fault line. The fault line moved
5
12
\frac{5}{12}
12
5
of an inch during the past year and
1
4
\frac{1}{4}
4
1
of an inch the year before. How far did the fault line move in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ inches
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The cattle at the Clark Farm are fed
7
3
10
7\frac{3}{10}
7
10
3
bales of hay each day. The horses are fed
3
4
\frac{3}{4}
4
3
as much hay as the cattle. How many bales of hay are the horses fed each day?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ bales of hay
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While making pastries, a bakery used
3
4
\frac{3}{4}
4
3
of a bag of wheat flour and
5
8
\frac{5}{8}
8
5
of a bag of white flour. How many bags of flour did the bakery use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
bags
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While taking inventory at her pastry shop, Paula realizes that she had
8
8
8
boxes of baking powder yesterday, but the supply is now down to
1
2
6
1\frac{2}{6}
1
6
2
boxes. How much more baking powder did Paula have yesterday?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
boxes
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Carter and his roommates ate
1
2
4
1\frac{2}{4}
1
4
2
pints of ice cream on Friday night and
2
1
3
2\frac{1}{3}
2
3
1
pints of ice cream on Saturday night. How many pints did they eat in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pints
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Reagan filled a bucket with
2
3
\frac{2}{3}
3
2
of a gallon of water. Later, she poured out
1
2
\frac{1}{2}
2
1
of a gallon of the water. How much water is left in the bucket?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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At Keith's Boutique,
5
12
\frac{5}{12}
12
5
of the pants are denim. Another
1
6
\frac{1}{6}
6
1
are khaki. What fraction of the pants are either denim or khaki?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
of the pants
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Jaden found an orange caterpillar and a green caterpillar in his backyard. The green caterpillar was
11
12
\frac{11}{12}
12
11
of an inch long and the orange caterpillar was
2
3
\frac{2}{3}
3
2
of an inch long. How much longer was the green caterpillar than the orange caterpillar?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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Amelia and her sister went together to get haircuts. Amelia got
7
12
\frac{7}{12}
12
7
of an inch cut off and her sister got
1
4
\frac{1}{4}
4
1
of an inch cut off. Compared to her sister, how much more hair did Amelia get taken off?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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In the morning, Isaiah drove to the store and used
2
3
\frac{2}{3}
3
2
of a gallon of gas. In the afternoon, he drove to the movie theater and used
5
12
\frac{5}{12}
12
5
of a gallon of gas. How much gas did Isaiah use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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A spaceship traveled
1
12
\frac{1}{12}
12
1
of a light-year and stopped at a space station. Then it traveled
3
4
\frac{3}{4}
4
3
of a light-year further to a planet. How far did the spaceship travel in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ light-years
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Sidney is trying to fit two boxes into the trunk of her car. One box is
1
6
\frac{1}{6}
6
1
of a foot tall and the other is
7
12
\frac{7}{12}
12
7
of a foot tall. Stacked on top of each other, what is the combined height of the two boxes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ feet
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While making desserts for a bake sale, Irma used
7
8
\frac{7}{8}
8
7
of a scoop of brown sugar as well as
3
4
\frac{3}{4}
4
3
of a scoop of white sugar. How much more brown sugar did Irma use?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
scoops
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Gabrielle watched a beetle and a spider on the sidewalk. The beetle crawled
7
12
\frac{7}{12}
12
7
of a yard and the spider crawled
1
3
\frac{1}{3}
3
1
of a yard. How much farther did the beetle crawl than the spider?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
yards
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Of the flags in David's Flag Shop,
7
12
\frac{7}{12}
12
7
are red and another
1
4
\frac{1}{4}
4
1
are white. What fraction of the flags are either red or white?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
of the flags
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At a pie-eating contest, Rita got through
11
12
\frac{11}{12}
12
11
of a pie before time was called; Aisha finished just
2
3
\frac{2}{3}
3
2
of a pie. How much more pie did Rita eat than Aisha?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ of a pie
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Scarlett has the deluxe version of the card game Mysterious Monsters of the Deep with
3
3
3
D images printed on the playing cards. She randomly selects one card from the deck, puts it back in the deck, and picks another card. She repeats this several times and gets
2
2
2
anglerfish,
3
3
3
vampire squids,
1
1
1
viperfish,
4
4
4
megamouth sharks, and
5
5
5
ghost fish.
\newline
Based on the data, what is the probability that the next card Scarlett selects will have an anglerfish on it?
\newline
Write your answer as a fraction or whole number.
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A water bottle holds
3
10
\frac{3}{10}
10
3
of a gallon of water. There are
14
5
\frac{14}{5}
5
14
gallons of water in a water tank. How many water bottles can be filled with the water in the tank?
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A cookie factory uses
1
8
\frac{1}{8}
8
1
of a barrel of oatmeal in each batch of cookies. The factory used
5
8
\frac{5}{8}
8
5
of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ batches
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A pizza restaurant had
1
2
\frac{1}{2}
2
1
of a gallon of pizza sauce left at the end of the evening and divided it equally between
2
2
2
pizzas. How much sauce did they put on each pizza?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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Maureen and Ashley own neighboring cornfields. Maureen harvested
4
4
4
acres of corn on Monday and Ashley harvested
5
8
\frac{5}{8}
8
5
of an acre. How many more acres did Maureen harvest than Ashley?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
acres
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Danielle bought
3
5
6
3\frac{5}{6}
3
6
5
pounds of green grapes and
1
1
2
1\frac{1}{2}
1
2
1
pounds of red grapes. How much more did the green grapes weigh than the red grapes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
pounds
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A meteorologist recorded the rainfall in Westminster in two consecutive months. In the first month, there was
1
1
1
inch of rain. In the second month, there was
2
2
3
2\frac{2}{3}
2
3
2
inches of rain. What was the total amount of rainfall during the two months?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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Roxanne added
2
5
\frac{2}{5}
5
2
of a cup of yellow raisins and
7
7
10
7\frac{7}{10}
7
10
7
cups of black raisins to a batch of trail mix. How many cups of raisins did Roxanne add in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ cups
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Laura, a pet store employee, wants to fit two fish tanks on one table. One fish tank is
2
1
8
2\frac{1}{8}
2
8
1
feet wide and the other fish tank is
1
1
1
foot wide. When placed next to each other, what is the total width of the two fish tanks?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
feet
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In making macaroni and cheese, Porter used
1
2
\frac{1}{2}
2
1
of a cup of cheddar and
3
5
\frac{3}{5}
5
3
of a cup of parmesan. How much cheese did Porter use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
cups
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Vince owns two dogs. Each day, one dog eats
1
7
10
1\frac{7}{10}
1
10
7
scoops of dog food and the other dog eats
1
1
2
1\frac{1}{2}
1
2
1
scoops. Together, how much dog food do the two dogs eat each day?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
scoops
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A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided
8
1
3
8\frac{1}{3}
8
3
1
ounces of liquid protein evenly among
3
3
3
cell samples. How much liquid protein did she give to each cell sample?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ ounces
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Last week, a chocolate shop sold
4
1
6
4\frac{1}{6}
4
6
1
ounces of white chocolate. It sold
4
1
2
4\frac{1}{2}
4
2
1
times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ ounces
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Sebastian has
12
12
12
more trophies than Megan. Megan has
t
t
t
trophies.
\newline
How many trophies does Sebastian have?
\newline
Write your answer as an expression.
\newline
□
\square
□
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Sarah received
$
55
\$55
$55
for her birthday. She used some of that money to buy
3
3
3
shirts priced at
m
m
m
dollars each.
\newline
How much money does Sarah have left?
\newline
Write your answer as an expression.
\newline
$
\$
$
◻
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Jack had
3
3
3
bags of golf balls with
b
b
b
balls in each bag; then his friend gave him
6
6
6
more golf balls.
\newline
How many golf balls does Jack have now?
\newline
Write your answer as an expression.
\newline
□
\square
□
balls
\text{balls}
balls
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The garden club earned
$
15
\$15
$15
per hour by weeding neighborhood gardens for
t
t
t
hours. A generous donor has agreed to double their earnings.
\newline
How much did the garden club earn in all?
\newline
Write your answer as an expression.
\newline
$
\$
$
◻
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Nicholas used a
$
10
\$ 10
$10
bill to pay for a granola bar that only costs
p
p
p
dollars.
\newline
How much change did Nicholas receive from the cashier?
\newline
Write your answer as an expression.
\newline
$
\$
$
□
\square
□
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2
2
2
A group of
66
66
66
third graders and
14
14
14
adults are going on a field trip to the zoo in small buses. Each bus holds
10
10
10
people.
\newline
How many buses will be needed for the trip to the zoo?
\newline
A
10
10
10
\newline
B
8
8
8
\newline
C
70
70
70
\newline
D
9
9
9
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6
1
2
6 \frac{1}{2}
6
2
1
years is how many weeks?
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The garden club earned
15
$
$
15\$\$
15$$
\) per hour by weeding neighborhood gardens for
t
t
t
hours. A generous donor has agreed to double their earnings. How much did the garden club earn in all? Write your answer as an expression.
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To get ready for school, Traci spent
1
20
\frac{1}{20}
20
1
of an hour getting dressed and
1
10
\frac{1}{10}
10
1
of an hour doing her hair. What is the total amount of time she spent getting ready?
\newline
Give your answer in simplest form.
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4
4
4
friends evenly divided up an
n
n
n
-slice pizza. One of the friends, Harris, ate
1
1
1
fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.
\newline
slices of pizza
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Suppose a charity received a donation of
$
14.7
\$14.7
$14.7
million. If this represents
39
%
39\%
39%
of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.
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Sicilia randomly selected
25
%
25\%
25%
of the Sound Sleep email subscribers and asked them how many hours of sleep they average each night. Of the subscribers surveyed,
16
16
16
average less than
6
6
6
hours of sleep each night. Based on the data, what is the most reasonable estimate of the number of Sound Sleep email subscribers who average less than
6
6
6
hours of sleep?
\newline
Choose
1
1
1
answer:
\newline
(A)
16
16
16
\newline
(B)
48
48
48
\newline
(C)
64
64
64
\newline
(D)
400
400
400
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In a bag full of small balls,
1
4
\frac{1}{4}
4
1
of these balls are green,
1
8
\frac{1}{8}
8
1
are blue,
1
12
\frac{1}{12}
12
1
are yellow and the remaining
26
26
26
white. How many balls are blue?
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A square with a perimeter of
39
39
39
units is dilated by a scale factor of
4
3
\frac{4}{3}
3
4
. Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
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Liam had
250
250
250
. Then, he and his classmates bought a present for their teacher, evenly splitting the
$
p
\$p
$
p
cost among the
24
24
24
of them. How much money does Liam have left? Write your answer as an expression.
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