1. Division with Fractions Copyright © 2013 …...2013/05/05 · 35. Jenny's math class is learning about fractions. The teacher has placed several partially filled water bottles

$Page 1: 1. Division with Fractions Copyright © 2013 …...2013/05/05 · 35. Jenny's math class is learning about fractions. The teacher has placed several partially filled water bottles$
6/14/13 Printable Worksheet

https://www52.studyisland.com/cfw/test/print-practice-worksheet/ab73b?CFID=34600844&CFTOKEN=95094541 1/31

Copyright © 2013 Edmentum - All rights reserved.

Division with Fractions

1. Solve the following.

A.

B.

C.

D.

Volume

2.

A stick of butter has a length of 8 inches, a width of 2 inches, and a height of 2 inches. What is the volume of thestick of butter?

A. 32 cubic inches

B. 64 cubic inches

C. 72 cubic inches

D. 36 cubic inches



A.

B.

C.

D.

Volume

4. Which measurement shows how much space is inside a rectangular prism?

A. volume



A. volume

B. area

C. faces

D. perimeter



A.

B.

C.

D.

Multiplication with Fractions

6.

Which of the following equations is modeled by the figure above?

A.

B.

C.

D.


7.

A.

B.

C.

D.


8. Solve.



8. Solve.

A.

B.

C.

D.

Representing & Interpreting Data

9. A cellular phone company collected data about how much time customers spend on the phone. The line plotdisplays the fraction of an hour customers spent on the phone on one day. If the total number of hours wereequally divided among the customers, what fraction of an hour would each customer have talked on the phone?

Time Customers Spent on the Phone

A.

B.

C.

D.


10. Which of the following fractions makes the number sentence true?

A.

B.

C.

Units of Measure

11. Convert to cups: 5 pints

A. 2.5 cups



B. 1.25 cups

C. 50 cups

D. 10 cups



A.

B.

C.

D.

Units of Measure

13. Convert to centimeters: 400 millimeters

A. 40 centimeters

B. 4 centimeters

C. 4,000 centimeters

D. 0.4 centimeter

Units of Measure

14. Given that 1 pound = 16 ounces, convert 48 ounces to pounds.

A. 5 pounds

B. 19 pounds

C. 2 pounds

D. 3 pounds

Units of Measure

15. Convert to tons: 14,000 pounds

A. 7 tons

B. 70 tons

C. 0.35 tons

D. 0.7 tons

Units of Measure

16. Convert to meters: 43 km

A. 43,000 m

B. 4,300 m

C. 430 m



C. 430 m

D. 430,000 m

Units of Measure

17. Convert to yards.

18 feet

A. 72 yards

B. 6 yards

C. 216 yards

D. 1.8 yards

Problem Solving with Fractions

18. Crystal bought a 5-foot roll of ribbon. How many -foot pieces are in the 5-foot roll?

A. 24

B. 20

C. 4

D. 9

Volume

19. If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?

A. 60 cubic in

B. 23 cubic in

C. 55 cubic in

D. 47 cubic in


20. Susanna found a roll of fabric she wanted to use to make a pillow. The roll had of a yard of fabric left.

Susanna needed of the remaining fabric. Which fraction represents how much fabric Susanna needed?

A. of a yard

B. of a yard

C. yards

D. yards





A.

B.

C.

D.

Units of Measure

22. Convert to inches: 4 feet

A. 16 inches

B. 12 inches

C. 40 inches

D. 48 inches


23. While cleaning the attic, Yuyan found some money. She decided to divide of the money equally among her 4favorite charities. How much of the money Yuyan found did each charity receive?

A.

B.

C.

D.

Units of Measure

24. Elijah needed to dig a row along a fence that was 5 feet long. He was able to dig all but 47 inches of the rowbefore dark.

How many inches was he able to dig before dark?

(Hint: 1 foot = 12 inches)

A. 42

B. 23

C. 13

D. 19


25. Which expression is equivalent to ?

A.

B.



C.

D.


26.

A.

B.

C.

D.


27. Which of the following is not equivalent to the expression below?

A.

B.

C.

D.


28. Which expression is equivalent to ?

A.

B.

C.

D.





A.

B.

C.

D.


30. Bowie used cup of raspberries and cup of blueberries to make a berry smoothie. How much fruit did he usein total?

A. of a cup

B. of a cup

C. of a cup

D. of a cup


31.

What is the area of the figure above?

A.

B.

C.

D.


32. The product of and is shown on the grid below.



Based on the grid, what is the product of and ?

A.

B.

C.

D.


33. For her science project, Sylvia collected flowers and measured their length. The line plot displays the lengths ofthe flowers. If the flowers were laid end to end, what is the total length of all the flowers?

Length of Flowers

A.

B.

C.

D.

Volume

34. A moving company wants to buy a new type of truck and needs to know the volume of the storagecompartment before they can decide if they should purchase the truck. What is the volume of the storagecompartment?

A. 1,224 ft3

B. 1,244 ft3

C. 1,238 ft3

D. 1,248 ft3



D. 1,248 ft3


35. Jenny's math class is learning about fractions. The teacher has placed several partially filled water bottles onher desk. The number of bottles and amount of water each one is filled with is shown below.

How much water will be in each bottle if the total amount of water is equally divided among the bottles?

A.

B.

C.

D.

Volume

36. Before Emilia purchases a new bookshelf, she wants to make sure it will hold her books. If the bookshelf is 5inches deep, what is the volume of the bookshelf?

A. 1,200 in3

B. 224 in3

C. 640 in3

D. 1,120 in3


37. While painting her room, Paige noticed she needed of a can of paint to paint one wall. The second wall

needed of a can of paint. How much paint was used to cover both walls?

A. of a can of paint

B. of a can of paint

C. of a can of paint



D. of a can of paint

Units of Measure

38. Convert to meters: 6,000 centimeters

A. 0.6 meter

B. 600 meters

C. 60 meters

D. 6 meters



A.

B.

C.

D.

Units of Measure

40. A roll of fabric was 144 inches long. A customer bought 3 feet of the fabric.

How many feet of fabric were remaining?

(Hint: 1 foot = 12 inches)

A. 9

B. 141

C. 8

D. 15

Volume

41. If each cube in the rectangular prism measures 1 cubic centimeter, what is the volume of the prism?

A. 8 cubic cm

B. 12 cubic cm

C. 24 cubic cm

D. 6 cubic cm



D. 6 cubic cm



A.

B.

C.

D.


43. In the cafeteria, a principal asked students what fraction of their plates contained vegetables. The followingtable shows the data.

Fraction of a Plate

Number of Students

If each dot represents 1 student, which dot plot matches the table?

W. X.

Y. Z.

A. W

B. Z

C. Y

D. X


44. A cellular phone company collected data about how much time customers spend on the phone. The following



44. A cellular phone company collected data about how much time customers spend on the phone. The followingtable shows the data.

Fraction of an Hour

Number of Customers

If each dot represents 1 customer, which dot plot matches the table?

W.

X.

Y.

Z.

A. Z

B. Y

C. X

D. W


45. Solve.

A.

B.

C.

D.




46. A banking Web site asks customers what fraction of their money they spend on housing. The line plot displays

the customers' responses. What fraction of customers spend of their money on housing?

Money Spent on Housing

A.

B.

C.

D.


47.

A.

B.

C.

D.


48. The product of and is shown on the grid below.

Based on the grid, what is the product of and ?

A.

B.

C.



D.


49. Stephen budgets of his money to spend on movies and music. Last month, he spent of the budgetedamount. How much of his total budget did he spend on movies and music last month?

A.

B.

C.

D.


50. Tyrone, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead

the group, and James had run of Michael's distance. Tyrone had run the distance James ran. Which fraction ofMichael's distance did Tyrone run?

A.

B.

C.

D.


51. A mall manager asks the store owners what fraction of their products are on sale. The store owners' responses

are displayed on the line plot. What fraction of the stores have or less of their products on sale?

Mall Stores Sale Items

A.

B.

C.

D.


52. A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish theirmeals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers.The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided



The line plot displays the weights of the left-over portions of the meals. If the left-over portions are dividedequally among the customers, how much food would each customer take home?

Weight of Left-over Meals

A.

B.

C.

D.

Volume

53. If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?

A. 40 cubic in

B. 168 cubic in

C. 84 cubic in

D. 144 cubic in

Volume

54. If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?

A. 8 cubic ft

B. 7 cubic ft

C. 6 cubic ft

D. 11 cubic ft

Volume

55.



A swimming pool has a length of 26 feet, a width of 18 feet, and a depth of 7 feet. How much water can theswimming pool hold?

A. 1,552 cubic feet

B. 3,276 cubic feet

C. 6,552 cubic feet

D. 776 cubic feet


56. If five is multiplied by a fraction greater than one, which of the following is true about the product?

A. The product is less than five.

B. The product is equal to five.

C. The product is greater than five.


57. A baseball stadium reported the fraction of fans who bought hot dogs at each game throughout the season.

The line plot displays hot dog sales data for each game. At what fraction of the games did more than of fans buyhot dogs?

Hot Dog Sales at Baseball Games

A.

B.

C.

D.

Volume

58. If each cube in the rectangular prism measures 1 cubic centimeter, what is the volume of the prism?

A. 12 cubic cm

B. 11 cubic cm

C. 10 cubic cm

D. 17 cubic cm



D. 17 cubic cm


59. Caterers made 266 cups of punch for a party. They will distribute the punch equally into 6 bowls.

How many cups of punch will each bowl have?

A.

B.

C.

D.


60. A popular online music store allowed shoppers to listen to an entire album before buying it. Of the people wholistened to the whole album, the store tracked what fraction of the album each person actually bought. The line

plot displays the fraction of the album each shopper bought. What fraction of the shoppers bought less than ofthe album?

Portion of an Album Purchased

A.

B.

C.

D.

Answers

1. B 2. A 3. C 4. A 5. A 6. A 7. A 8. C 9. A 10. B 11. D 12. C 13. A 14. D 15. A 16. A 17. B



17. B 18. B 19. A 20. B 21. D 22. D 23. A 24. C 25. D 26. D 27. D 28. D 29. C 30. A 31. A 32. A 33. D 34. D 35. C 36. D 37. C 38. C 39. A 40. A 41. A 42. A 43. C 44. B 45. B 46. A 47. A 48. D 49. C 50. C 51. A 52. D 53. D 54. C 55. B 56. C 57. A 58. C 59. C 60. C

Explanations

1. When dividing a fraction by a whole number, start off by converting the whole number to a fraction, .

Now the problem is .

To divide a fraction by a fraction, flip the second fraction and multiply.

2. The volume of a rectangular prism is given by the formula: V = L × W × H.

V = L × W × H

= 8 in × 2 in × 2 in

= 32 cubic in

The volume of the stick of butter is 32 cubic inches.



The volume of the stick of butter is 32 cubic inches.




4. Volume is the space taken up by a 3-dimensional object, such as a box.

5. When dividing a whole number by a fraction, start off by converting the whole number to a fraction, .



6. Each section of the figure has of it shaded. Since there are 5 sections, the figure shows .

When all of the shaded pieces are combined, there are 10 shaded pieces that each represent . So, the solution

is .

Therefore, the following equation is modeled by the figure.

7. To multiply fractions, multiply the numerators together and the denominators together.

Then, if possible, simplify the result.

8. First, write 5 as a fraction: .

Next, multiply the numerators, and then the denominators:

9. Multiply the number of dots in each column by the value of each column.



Add the values together.

Finally, divide 10 by the total number of customers, 24.

If the total hours talked were equally divided among the customers, each customer would have talked of anhour.

10. When a number is multiplied by a fraction, the solution is equal to the given number if the fraction is equalto one, less than the given number if the fraction is less than one, and greater than the given number if thefraction is greater than one.

Since the solution should be greater than the given number, the fraction multiplied should be greater than one.

The only fraction greater than one is .

11. Since there are 2 cups in 1 pint, multiply 5 pints by 2 to convert to cups.

5 pints × 2 cups/pint = 10 cups




13. Since there are 10 millimeters in 1 centimeter, divide 400 millimeters by 10 to convert to centimeters.

400 millimeters ÷ 10 millimeters/centimeter = 40 centimeters

14. Since there are 16 ounces in 1 pound, divide 48 ounces by 16 to convert to pounds.

48 ounces ÷ 16 ounces/pound = 3 pounds

15. Since there are 2,000 pounds in 1 ton, divide 14,000 pounds by 2,000 to convert to tons.

14,000 lb ÷ 2,000 lb/ton = 7 tons

16. Since there are 1,000 meters in 1 kilometer, multiply 43 kilometers by 1,000 to convert to meters.

43 km × 1,000 m/km = 43,000 m



43 km × 1,000 m/km = 43,000 m

17. Since there are 3 feet in 1 yard, divide 18 feet by 3 to convert to yards.

18 feet ÷ 3 feet/yard = 6 yards

18. To find how many -foot pieces are in the 5-foot roll, divide 5 by .

So, there are 20 -foot pieces in the 5-foot roll?

19. To find the volume of the figure, multiply the length, width, and height.

First, multiply the length and width to find the number of cubes of one layer. This value is also the area of thebase.

Now, multiply this product by the height, or number of layers.

Multiply 5 by 4 to determine the number of cubes in one layer. Then, multiply by 3 layers.

V = l × w × h

V = 5 × 4 × 3

V = 60 cubes

Each cube has a volume of 1 cubic inch. So, the volume of the figure is 60 cubic in.

20. The roll has of a yard left, and Susanna needs of it. To find out how much fabric she needs, multiply by

.

Susanna needs of a yard.




22. Since there are 12 inches in 1 foot, multiply 4 feet by 12 to convert to inches.



22. Since there are 12 inches in 1 foot, multiply 4 feet by 12 to convert to inches.

4 feet × 12 inches/foot = 48 inches

23. Yuyan divided of the money she found equally among 4 charities.

So, Yuyan donated of the money to each charity.

24. Use the fact that 1 foot = 12 inches. Change 5 feet into inches by multiplying by 12 inches per foot.

5 feet × 12 inches per foot = 60 inches

Then, subtract 47 inches from 60 inches.

60 inches - 47 inches = 13 inches

So, Elijah was able to dig 13 inches before dark.

25. A number expressed as a fraction is equivalent to the numerator divided by the denominator.

Since 14 is the numerator and 29 is the denominator, the correct answer is .

26.

27. To find which is not equivalent, simplify each of the expressions and find which one is different.

So, the only expression that is not equivalent is below.

28. A number expressed as a fraction is equivalent to the numerator divided by the denominator.

Since 9 is the numerator and 10 is the denominator, the correct answer is .






30. To find the total amount of fruit, add the two amounts using a common denominator.

Bowie used of a cup of fruit for his smoothie.

31. From the key, find the area of 1 square.

Since there are 12 squares in the figure, multiply this by 12 to find the area of the figure.

Another way to find the area is just to multiply the length and the width.

From the figure, the length is cm and the width is cm.

Notice both methods give the same answer.

32. Start by examining the model.

There are 6 columns and one is shaded. This represents .

There are 3 rows and one has a pattern. This represents .

Now, look at the space that is shaded by both and . This area represents the product of and .

So, the product of and is , as shown by the model.

33. To find the total number of feet in each column, multiply the number of dots in each column by the value ofeach column.



Now, add the total number of feet in each column.

The total length of the flowers is feet.

34. Divide the figure into rectangular prisms.

Calculate the volume of the two rectangular prisms.

2 ft × 18 ft × 8 ft = 288 ft3

8 ft × 15 ft × 8 ft = 960 ft3

To find the volume of the storage compartment, add the two volumes.

288 ft3 + 960 ft3 = 1,248 ft3

The volume of the storage compartment is 1,248 ft3.


Add the values together.

Finally, divide the sum, 3, by the total number of bottles, 6.

If the water was equally divided among 6 bottles, each bottles would hold of a liter.

36. Divide the figure into rectangles.



Calculate the areas of the two rectangles.

20 in × 8 in = 160 in2

16 in × 4 in = 64 in2

Add the two areas together to find the area of the bookshelf.

160 in2 + 64 in2 = 224 in2

To find the volume of the bookshelf, multiply the area by 5 in, or the depth of the bookshelf.

224 in2 × 5 in = 1,120 in3

The volume of the bookshelf is 1,120 in3.

37. To find the total amount of paint used, add the two amounts using a common denominator.

Paige used of a can of paint.

38. Since there are 100 centimeters in 1 meter, divide 6,000 centimeters by 100 to convert to meters.

6,000 centimeters ÷ 100 centimeters/meter = 60 meters




40. Use the fact that 1 foot = 12 inches. Change 144 inches into feet by dividing by 12 inches per foot.

144 inches ÷ 12 inches per foot = 12 feet

Then, subtract 3 feet from 12 feet.

12 feet - 3 feet = 9 feet

So, 9 feet of fabric remained.








V = l × w × h

V = 2 × 2 × 2

V = 8 cubes

Each cube has a volume of 1 cubic centimeter. So, the volume of the figure is 8 cubic cm.




43. There were 5 students with of a plate of vegetables.

There were 9 students with of a plate of vegetables.

There were 6 students with of a plate of vegetables.

The only dot plot that matches up with the information in the table is Y.

44. There were 5 customers who spend of an hour on the phone.

There were 5 customers who spend of an hour on the phone.









The only dot plot that matches up with the information in the table is Y.

45. First, write 18 as a fraction: .

Next, multiply the numerators, and then the denominators:

46. Count the dots in the column.

Of the 20 customers, 6 spend of their money on housing.

Express these customers as a fraction of all customers.

Of all the customers, spend of their money on housing.

47. To multiply fractions, multiply the numerators together and the denominators together.

Then, if possible, simplify the result.

48. Start by examining the model.

There are 4 columns and three are shaded. This represents .

There are 2 rows and one has a pattern. This represents .

Now, look at the space that is shaded by both and . This area represents the product of and .

So, the product of and is , as shown by the model.

49. Stephen can spend of his money on movies and music each month. Last month, he did not spend all of the

amount. He only spent . To find how much of all his money he spent, multiply the two fractions together.



Last month, Stephen spent of his money on movies and music.

50. Tyrone ran of James' distance, and James ran of Michael's distance. To find how much of Michael'sdistance Tyrone ran, multiply the two distances together.

Tyrone ran of Michael's distance.

51. Count the dots to the left of, and including, the column.

Of the 26 stores, 13 had or less of their products on sale.

Express these 13 stores as a fraction of the whole group.

At the mall, of the stores had or less of their products on sale.


Now, add the total weight in each column.

The restaurant measured a total of 8 pounds of food.

Finally, divide 8 by the total number of customers, 16.

If the amount of food were equally divided among all 16 customers, they would each take home of a pound offood.





V = l × w × h

V = 6 × 6 × 4

V = 144 cubes



Each cube has a volume of 1 cubic inch. So, the volume of the figure is 144 cubic in.





V = l × w × h

V = 3 × 1 × 2

V = 6 cubes

Each cube has a volume of 1 cubic foot. So, the volume of the figure is 6 cubic ft.

55. The volume of a rectangular prism is given by the formula: V = L × W × H.

V = L × W × H

= 26 ft × 18 ft × 7 ft

= 3,276 cubic ft

The swimming pool can hold 3,276 cubic feet of water.

56. When a number is multiplied by a fraction, it is multiplied by the numerator and divided by the denominator.

If a fraction is greater than one, then the numerator is larger than the denominator. This means that the givennumber is multiplied by a number larger than the number it is being divided by.

So, the product will be greater than the given number.

In this case, that means if five is multiplied by a fraction greater than one, the product is greater than five.

57. Count the dots greater than, but not including, .

At 9 of the 16 games, more than of fans bought hot dogs.

So, more than of fans bought hot dogs at of games.






Multiply 5 by 2 to determine the number of cubes in one layer. Then, multiply by 1 layer.

V = l × w × h

V = 5 × 2 × 1

V = 10 cubes

Each cube has a volume of 1 cubic centimeter. So, the volume of the figure is 10 cubic cm.

59. To find how much punch will be in each bowl, divide 266 by 6.

Therefore, each bowl will have cups of punch.

60. Count the dots less than, but not including, .

Of the 18 shoppers, 8 bought less than of the album.

Express as a fraction and reduce.

So, of the shoppers bought less than of the album.

Documents

1. Division with Fractions Copyright © 2013 …...2013/05/05 · 35. Jenny's math class is learning about fractions. The teacher has placed several partially filled water bottles