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Math Problems
Grade 7
Divide fractions and mixed numbers: word problems
Avery bought some cans of paint and
3
5
\frac{3}{5}
5
3
of a liter of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put
3
10
\frac{3}{10}
10
3
of a liter of additive in each can. How many cans of paint did Avery buy?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ cans
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Maura needs to add
1
2
\frac{1}{2}
2
1
of a cup of flour to a recipe. She only has a
1
4
\frac{1}{4}
4
1
-cup measure. How many scoops of flour does Maura need to add?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ scoops
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Mr. Cheng bought a block of fudge that weighed
3
5
\frac{3}{5}
5
3
of a pound. He cut the fudge into
6
6
6
equal pieces. What was the weight of each piece of fudge?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Reid made
3
4
\frac{3}{4}
4
3
of a quart of hot chocolate. Each mug holds
3
8
\frac{3}{8}
8
3
of a quart. How many mugs will Reid be able to fill?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ mugs
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A road repair crew spread
5
6
\frac{5}{6}
6
5
of a ton of gravel evenly over
5
5
5
feet of road. How many tons of gravel did they spread on each foot of road?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ tons
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During snack time at preschool, the teacher divided
1
2
\frac{1}{2}
2
1
of a gallon of milk evenly between
2
2
2
students. How much milk did each student get?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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At the end of the day, a bakery had
2
3
\frac{2}{3}
3
2
of a pie left over. The employees decided to split the leftovers equally, and each took home
1
3
\frac{1}{3}
3
1
of a pie. How many employees were at the bakery?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ employees
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A furniture maker used
2
3
\frac{2}{3}
3
2
of a can of paint to paint some chairs. She used
1
6
\frac{1}{6}
6
1
of a can of paint for each chair. How many chairs did she paint?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
chairs
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Mark has
5
6
\frac{5}{6}
6
5
of a pound of bird seed left to share equally among
5
5
5
bird cages in his pet shop. How many pounds can he put in each bird cage?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pound
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The construction engineer calculated that she needed
2
2
2
support pillars of equal size. She ordered
4
5
\frac{4}{5}
5
4
of a ton of concrete to make the support pillars. How much concrete did she use for each support pillar?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ tons
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Akira made
2
3
\frac{2}{3}
3
2
of a kilogram of trail mix. If she puts
1
6
\frac{1}{6}
6
1
of a kilogram into each bag, how many bags can Akira fill?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ bags
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Layla made a block of scented soap which weighed
3
5
\frac{3}{5}
5
3
of a pound. She divided the soap into
3
3
3
equal pieces. How much did each piece of soap weigh?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Myra feeds each of her dogs
1
10
\frac{1}{10}
10
1
of a can of food each day. She uses a total of
2
5
\frac{2}{5}
5
2
of a can of food each day. How many dogs does Myra have?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
\_\_
__
dogs
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An electrician needs
2
2
2
rolls of electrical wire to wire each room in a house. How many rooms can he wire with
3
4
\frac{3}{4}
4
3
of a roll of wire?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ rooms
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Every day, the Chu Family Restaurant serves
4
4
4
bottles of soda to their customers. How many days will
6
2
3
6\frac{2}{3}
6
3
2
bottles of soda last?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ days
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Jessica made an apple pie. She used
1
2
\frac{1}{2}
2
1
of a tablespoon of cinnamon and
1
5
\frac{1}{5}
5
1
of a tablespoon of nutmeg. How much more cinnamon than nutmeg did Jessica use?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ tablespoons
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A factory uses
1
8
\frac{1}{8}
8
1
of a barrel of raisins in each batch of granola bars. Yesterday, the factory used
1
2
\frac{1}{2}
2
1
of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
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At the end of the night, a pizza place had
3
10
\frac{3}{10}
10
3
of a pizza left over. The
3
3
3
employees each took home the same amount of leftover pizza. How much pizza did each employee take home?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pizzas
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Footsteps Preschool buys paint in bulk, then divides the paint into smaller portions for use in the classrooms. Today, they bought
2
3
\frac{2}{3}
3
2
of a gallon of pink paint and divided it equally between
2
2
2
classrooms. How much pink paint did each classroom get?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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A diamond merchant received a shipment of
1
2
\frac{1}{2}
2
1
of a pound of diamonds. She divided the diamonds into
5
5
5
equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Workmen used
1
3
\frac{1}{3}
3
1
of a pallet of pavers to build
2
2
2
steps leading up to the mansion. Each step they built was the same size. How many pallets did they use for each step?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pallets
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At the end of the day, a bakery had
4
5
\frac{4}{5}
5
4
of a pie left over. The
4
4
4
employees each took home the same amount of leftover pie. How much pie did each employee take home?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pies
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A cookie factory uses
1
10
\frac{1}{10}
10
1
of a barrel of oatmeal in each batch of cookies. The factory used
1
2
\frac{1}{2}
2
1
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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Rob picked
1
4
\frac{1}{4}
4
1
of a pound of berries. He divided them evenly between
2
2
2
containers. How many pounds of berries did Rob put in each container?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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A diamond merchant received a shipment of
5
8
\frac{5}{8}
8
5
of a pound of diamonds. She divided the diamonds into
5
5
5
equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Martha made fancy red costume decorations for each of the
5
5
5
dancers in her year-end dance performance. She cut
1
2
\frac{1}{2}
2
1
of a yard of ribbon into equal pieces to make the decorations. How long was each piece of ribbon?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ yards
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A diamond merchant received a shipment of
1
2
\frac{1}{2}
2
1
of a pound of diamonds. She divided the diamonds into
3
3
3
equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
Get tutor help
A cookie factory uses
3
8
\frac{3}{8}
8
3
of a barrel of oatmeal in each batch of cookies. The factory used
3
4
\frac{3}{4}
4
3
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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Joel made
3
4
\frac{3}{4}
4
3
of a kilogram of trail mix. If he puts
3
8
\frac{3}{8}
8
3
of a kilogram into each bag, how many bags can Joel fill?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ bags
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Every day, the Lincoln Pet Store uses
3
4
\frac{3}{4}
4
3
of a bag of dog food to feed the dogs. How many days will
6
3
4
6\,\frac{3}{4}
6
4
3
bags of dog food last?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
days
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A furniture maker used
3
1
2
3\frac{1}{2}
3
2
1
cans of paint to paint
5
5
5
chairs. He used the same amount of paint for each chair. How many cans of paint did he use for each chair?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ cans
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Levi ran
10
10
10
miles on Saturday and
5
1
2
5\frac{1}{2}
5
2
1
miles on Sunday. How many miles did Levi run in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
miles
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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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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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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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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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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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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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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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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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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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