Resources

Resources

Divide fractions and mixed numbers

Four identical glasses are shown below. One glass is empty, and the other

3

glasses are full, full, and full of water, respectively. If the water were redistributed equally among the

4

glasses, what fractional part of each glass would be filled?

A fancy restaurant put dishes of butter at each table. They divided

\frac{3}{4}

of a kilogram of butter evenly to put

\frac{1}{8}

of a kilogram in each dish. How many butter dishes did they fill?

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Write your answer as a fraction or as a whole or mixed number.

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\_\_\_

A cookie factory uses

\frac{1}{4}

of a bag of flour in each batch of cookies. The factory used

\frac{3}{4}

of a bag of flour yesterday. How many batches of cookies did the factory make?

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Write your answer as a fraction or as a whole or mixed number.

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\_\_\_\_

Amanda wants to put

\frac{1}{4}

of a kilogram of bird seed in each of the bird cages in her pet shop. She has

\frac{3}{4}

of a kilogram of bird seed left. How many cages can she refill with bird seed?

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Write your answer as a fraction or as a whole or mixed number.

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Janet and her brother made

\frac{5}{6}

of a gallon of lemonade to sell at their lemonade stand. They divided the lemonade equally among

5

paper cups. How much lemonade was in each paper cup?

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Write your answer as a fraction or as a whole or mixed number.

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Cole made fancy green costume decorations for each of the

4

dancers in his year-end dance performance. He cut

\frac{1}{2}

of a yard of ribbon into equal pieces to make the decorations. How long was each piece of ribbon?

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Write your answer as a fraction or as a whole or mixed number.

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A pizza restaurant used its final

\frac{3}{4}

of a liter of pizza sauce to make some pizzas. They put

\frac{1}{4}

of a liter of sauce on each pizza. How many pizzas did they make?

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Write your answer as a fraction or as a whole or mixed number.

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Luther made fancy blue costume decorations for each of the dancers in his year-end dance performance. He used

\frac{1}{6}

of a meter of ribbon for each decoration, which he got by cutting

\frac{1}{2}

of a meter of ribbon into equal pieces. How many decorations did Luther make?

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Write your answer as a fraction or as a whole or mixed number.

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_____ decorations

There is a spinner with

8

equal areas, numbered

1

8

. If the spinner is spun one time, what is the probability that the result is a multiple of

2

or a multiple of

3

3

people will equally split

280

acres of land. To the nearest tenth of an acre, how much land will each person get? Write your answer as a decimal.

Mrs. Montoya just got a large box of juggling balls in a variety of patterns that she will use in her PE class. Her homeroom students are curious about what patterns are in the box, so they randomly select a juggling ball, record its pattern, put it back in the box, then mix the balls up. They do this

16

times and count

3

5

6

2

camouflage juggling balls.

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Based on the data, what is the probability of choosing a spotted juggling ball?

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Write your answer as a fraction or whole number.

At the county fair, Francesca is waiting her turn at a spinner where she can win a prize. The spinner is divided into

5

unequal sections labeled pinwheel, bracelet, hat, sunglasses, and beach ball. Here are the spinner results of the people in line in front of Francesca:

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hat, bracelet, sunglasses, hat, pinwheel, beach ball, bracelet, hat

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Based on the data, what is the probability of the spinner landing on bracelet during Francesca's turn?

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Write your answer as a fraction or whole number.

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A group of friends are dining at a pizza parlor. They have

1\frac{1}{2}

pizzas. If each friend eats

\frac{1}{4}

of a pizza, how many friends can have an equal share?

A furniture maker used

\frac{3}{4}

of a can of paint to paint some chairs. He used

\frac{3}{8}

of a can of paint for each chair. How many chairs did he paint?

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Write your answer as a fraction or as a whole or mixed number.

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Eddie wants to put

\frac{1}{4}

of a kilogram of bird seed in each of the bird cages in his pet shop. He has

\frac{3}{4}

of a kilogram of bird seed left. How many cages can he refill with bird seed?

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Write your answer as a fraction or as a whole or mixed number.

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Every day, Deion's burrito stand uses

3

bags of tortillas. How many days will

\frac{3}{4}

of a bag of tortillas last?

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Write your answer as a fraction or as a whole or mixed number.

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\frac{3}{4}

of a pallet of pavers to build some steps leading up to the mansion. They used

\frac{3}{8}

of a pallet for each step. How many steps did they build?

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Write your answer as a fraction or as a whole or mixed number.

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The construction engineer calculated that she needed

4

support pillars of equal size. She ordered

\frac{1}{2}

of a ton of concrete to make the support pillars. How much concrete did she use for each support pillar?

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Write your answer as a fraction or as a whole or mixed number.

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Janelle divided

\frac{2}{3}

of a gallon of ketchup equally into

4

smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle?

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Write your answer as a fraction or as a whole or mixed number.

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At the end of the night, a pizza place had

\frac{2}{3}

of a pizza left over. The

3

employees each took home the same amount of leftover pizza. How much pizza did each employee take home?

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Write your answer as a fraction or as a whole or mixed number.

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12

items at the college bookstore. The items cost a total of

\$ 29.00

. The pens cost

\$ 0.50

each, the notebooks were

\$ 4.00

each, and the highlighters cost

\$ 1.50

each. She bought

4

more notebooks than highlighters. How many of each item did she buy?

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Use a system of three linear equations to solve the problem.

What is the value of

4^{3}\div 2^{3}

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2

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8

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16

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7

10

5

7

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In how many ways can he select

5

pens if only the choice of colors matters.

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Use the Counting Rules.

622.51 \div 7

Tyshawn volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday,

454

people went to The Youth Wing,

331

people went to Social Issues, and

444

went to Fiction and Literature.

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On Sunday, the library had

600

total visitors. Based on what Tyshawn had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.

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Audrey volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday,

380

people went to The Youth Wing,

320

people went to Social Issues, and

396

went to Fiction and Literature.

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On Sunday, the library had

1000

total visitors. Based on what Audrey had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.

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Without dividing, determine if

34

757

is divisible by

9

and explain how you know.

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34,757 \square

9

A large cheese pizza costs

18

\$

Each topping you add on costs

1.50

\$

. How much would it cost to get a large cheese pizza with

c

toppings added? Write your answer as an expression.

In a random sample of a particular model of drone,

2.5\%

of the drones have a manufacturing defect. At this rate, how many of

4000

drones of the same model will have a manufacturing defect?

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1

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2.5

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25

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100

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1,000

In a random sample of a particular model of drone,

2.5\%

of the drones have a manufacturing defect. At this rate, how many of

4000

drones of the same model will have a manufacturing defect?

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1

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2.5

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25

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100

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1,000

p

paintings in his art collection. He and other local painting collectors agreed to donate a total of

48

paintings to the local museum. Each of the

12

collectors will donate the same number of paintings.

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How many paintings will Sergio have in his art collection after his donation?

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Write your answer as an expression.

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x

twenty-dollar bills and

1

ten-dollar bill.

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How much money does Donald have?

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Write your answer as an expression.

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3

batches of cookies with

c

cookies in each batch. She then ate

8

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How many cookies does Anna have left?

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Write your answer as an expression.

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96

cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received

c

fewer cookies than she would have received had all of the cookies been evenly divided among the

8

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How many cookies did Cindy receive?

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Write your answer as an expression.

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\$ 12

per hour delivering cakes. She worked for

x

hours this week. Unfortunately, she was charged

\$ 15

for a late delivery on Tuesday.

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How much money did Sunny earn this week?

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Write your answer as an expression.

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\$

3

bags of golf balls with

b

balls in each bag; then his friend gave him

6

more golf balls.

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How many golf balls does Jack have now?

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Write your answer as an expression.

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\$ 55

for her birthday.

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She used some of that money to buy

3

shirts priced at

m

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How much money does Sarah have left?

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Write your answer as an expression.

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\$

48

chocolates but decided to give

8

chocolates to each of his

f

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How many chocolates does Steve have left?

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Write your answer as an expression.

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Hannah's school hosted a book donation. There are

150

students at her school, and they donated a total of

b

books! Hannah donated

3

times as many as the average number of books each student donated.

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How many books did Hannah donate?

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Write your answer as an expression.

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The Running Aces card team won

\$ 548

playing in poker tournaments last year. The winnings were split evenly among the

p

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How much money did each player receive?

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Write your answer as an expression.

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\$

Suzie paid a total of

\$ 324

x

tickets to a rock festival.

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How much did each ticket cost?

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Write your answer as an expression.

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\$

Nicholas used a

\$ 10

bill to pay for a granola bar that only costs

p

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How much change did Nicholas receive from the cashier?

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Write your answer as an expression.

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\$

b

dollars. Cam has

7

fewer dollars than Ben.

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How many dollars does Cam have?

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Write your answer as an expression.

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Daniel gets a paycheck every

4

weeks. He works

x

hours each week.

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How many hours does Daniel get paid for on each paycheck?

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Write your answer as an expression.

Janelle saved up

\$ 265

, then she bought a sweater for

d

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How much money does Janelle have left?

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Write your answer as an expression.

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\$

Marco's mom gave him

d

dollars for his allowance one week. He also earned

\$ 14.55

for his newspaper route that week.

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How much money does Marco have?

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Write your answer as an expression.

12

more trophies than Megan. Megan has

t

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How many trophies does Sebastian have?

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Write your answer as an expression.

Michelle used a

\$ 20

bill to pay for a notebook that only costs

p

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How much change did Michelle receive from the cashier?

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Write your answer as an expression.

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\$

Camelle manages her soccer team. She needs to order

4

practice jerseys for each player. There are

y

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How many total practice jerseys does she need to order?

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Write your answer as an expression.

A bathtub is filling with water at a rate of

60

liters per minute.

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How many liters of water are in the bathtub after

t

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Write your answer as an expression.

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