Multiply fractions 4th-6th grades sample preview

20
Name: Answers 2 / 4 3 = To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as: 2 / 4 + 2 / 4 + 2 / 4 If we shade in 2 / 4 on the fractions below 3 times we can see a visual representation of the problem. 2 / 4 3 = 2 / 4 3 = 1 2 / 4 After shading it in we can see why 2 / 4 three times is equal to 1 whole and 2 / 4 . 1) 4 / 8 4 = 2) 5 / 6 6 = 3) 3 / 4 6 = 4) 3 / 6 6 = 5) 4 / 12 4 = 6) 2 / 3 4 = 7) 7 / 12 4 = 8) 3 / 8 6 = 9) 1 / 4 4 = 10) 8 / 10 4 = 11) 6 / 8 3 = 12) 2 / 3 2 = 1. 2 2. 5 3. 4 2 / 4 4. 3 5. 1 4 / 12 6. 2 2 / 3 7. 2 4 / 12 8. 2 2 / 8 9. 1 10. 3 2 / 10 11. 2 2 / 8 12. 1 1 / 3 Multiplying Fractions by Whole Numbers (visual) Use the visual model to solve each problem.

description

This is a preview of a 182 page unit of multiplying fractions! Complete download is available @ http://www.christianhomeschoolhub.com/pt/Fractions-/wiki.htm

Transcript of Multiply fractions 4th-6th grades sample preview

Page 1: Multiply fractions 4th-6th grades sample preview

Math www.CommonCoreSheets.com

Name:

Answers 2⁄4 × 3 =

To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:

2⁄4 + 2⁄4 + 2⁄4

If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.

2⁄4 × 3 = 2⁄4 × 3 = 1 2/4After shading it in we can see why 2/4 three times is equal to 1 whole and 2/4.

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1)4⁄8 × 4 =

2)5⁄6 × 6 =

3)3⁄4 × 6 =

4)3⁄6 × 6 =

5)4⁄12 × 4 =

6)2⁄3 × 4 =

7)7⁄12 × 4 =

8)3⁄8 × 6 =

9)1⁄4 × 4 =

10)8⁄10 × 4 =

11)6⁄8 × 3 =

12)2⁄3 × 2 =

1. 2

2. 5

3. 4 2⁄4

4. 3

5. 1 4⁄12

6. 2 2⁄3

7. 2 4⁄12

8. 2 2⁄8

9. 1

10. 3 2⁄10

11. 2 2⁄8

12. 1 1⁄3

Multiplying Fractions by Whole Numbers (visual)Use the visual model to solve each problem.

1

Page 2: Multiply fractions 4th-6th grades sample preview

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Name:

Answers 2⁄4 × 3 =

To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:

2⁄4 + 2⁄4 + 2⁄4

If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.

2⁄4 × 3 = 2⁄4 × 3 = 1 2/4After shading it in we can see why 2/4 three times is equal to 1 whole and 2/4.

Answer Key

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1)4⁄8 × 4 =

2)5⁄6 × 6 =

3)3⁄4 × 6 =

4)3⁄6 × 6 =

5)4⁄12 × 4 =

6)2⁄3 × 4 =

7)7⁄12 × 4 =

8)3⁄8 × 6 =

9)1⁄4 × 4 =

10)8⁄10 × 4 =

11)6⁄8 × 3 =

12)2⁄3 × 2 =

1. 2

2. 5

3. 4 2⁄4

4. 3

5. 1 4⁄12

6. 2 2⁄3

7. 2 4⁄12

8. 2 2⁄8

9. 1

10. 3 2⁄10

11. 2 2⁄8

12. 1 1⁄3

Multiplying Fractions by Whole Numbers (visual)Use the visual model to solve each problem.

1

Page 3: Multiply fractions 4th-6th grades sample preview

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Name:

Answers 2⁄4 × 3 =

To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:

2⁄4 + 2⁄4 + 2⁄4

If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.

2⁄4 × 3 = 2⁄4 × 3 = 1 2/4After shading it in we can see why 2/4 three times is equal to 1 whole and 2/4.

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1)1⁄5 × 4 =

2)3⁄5 × 4 =

3)1⁄6 × 5 =

4)1⁄3 × 7 =

5)1⁄3 × 5 =

6)2⁄5 × 3 =

7)4⁄6 × 4 =

8)2⁄4 × 7 =

9)2⁄5 × 7 =

10)4⁄12 × 7 =

11)1⁄3 × 4 =

12)1⁄4 × 7 =

1. 0 4⁄5

2. 2 2⁄5

3. 0 5⁄6

4. 2 1⁄3

5. 1 2⁄3

6. 1 1⁄5

7. 2 4⁄6

8. 3 2⁄4

9. 2 4⁄5

10. 2 4⁄12

11. 1 1⁄3

12. 1 3⁄4

Multiplying Fractions by Whole Numbers (visual)Use the visual model to solve each problem.

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Page 4: Multiply fractions 4th-6th grades sample preview

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Name:

Answers 2⁄4 × 3 =

To solve multiplication problems with fractions one strategy is to think of them as addition problems. For example the problem above is the same as:

2⁄4 + 2⁄4 + 2⁄4

If we shade in 2/4 on the fractions below 3 times we can see a visual representation of the problem.

2⁄4 × 3 = 2⁄4 × 3 = 1 2/4After shading it in we can see why 2/4 three times is equal to 1 whole and 2/4.

Answer Key

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1)1⁄5 × 4 =

2)3⁄5 × 4 =

3)1⁄6 × 5 =

4)1⁄3 × 7 =

5)1⁄3 × 5 =

6)2⁄5 × 3 =

7)4⁄6 × 4 =

8)2⁄4 × 7 =

9)2⁄5 × 7 =

10)4⁄12 × 7 =

11)1⁄3 × 4 =

12)1⁄4 × 7 =

1. 0 4⁄5

2. 2 2⁄5

3. 0 5⁄6

4. 2 1⁄3

5. 1 2⁄3

6. 1 1⁄5

7. 2 4⁄6

8. 3 2⁄4

9. 2 4⁄5

10. 2 4⁄12

11. 1 1⁄3

12. 1 3⁄4

Multiplying Fractions by Whole Numbers (visual)Use the visual model to solve each problem.

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Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) 2× 2 =

45 5

1)8 ×

9= 6

122)

10 ×3

= 65

3)10 ×

2= 2

104) 5

× 5 = 41

6 65) 1

× 6 =6

12 12

6) 11× 3 = 2

912 12

7) 2× 5 = 3

13 3

8)10 ×

2= 5

4

9) 9× 2 = 1

612 12

10) 1× 6 = 2

311)

6 ×1

= 12

4 4

12) 1× 8 = 1

35 5

13) 2× 5 = 1

1014)

3 ×7

= 25

8 8

15) 2× 5 = 2

516)

8 ×1

=8

12 1217)

4 ×2

= 18

18)2 ×

4= 1

819) 5

× 10 = 82

6 620)

10 ×10

= 84

12 12

Ex.4⁄5

1. 6

2. 6

3. 2

4. 4 1⁄6

5.6⁄12

6. 2 9⁄12

7. 3 1⁄3

8. 5

9. 1 6⁄12

10. 2

11. 1 2⁄4

12. 1 3⁄5

13. 1

14. 2 5⁄8

15. 2

16.8⁄12

17. 1

18. 1

19. 8 2⁄6

20. 8 4⁄12

Multiplying Fractions by Whole NumbersSolve each problem. Answer as a mixed fraction.

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Answers Answer Key

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) 2× 2 =

45 5

1)8 ×

9= 6

122)

10 ×3

= 65

3)10 ×

2= 2

104) 5

× 5 = 41

6 65) 1

× 6 =6

12 12

6) 11× 3 = 2

912 12

7) 2× 5 = 3

13 3

8)10 ×

2= 5

4

9) 9× 2 = 1

612 12

10) 1× 6 = 2

311)

6 ×1

= 12

4 4

12) 1× 8 = 1

35 5

13) 2× 5 = 1

1014)

3 ×7

= 25

8 8

15) 2× 5 = 2

516)

8 ×1

=8

12 1217)

4 ×2

= 18

18)2 ×

4= 1

819) 5

× 10 = 82

6 620)

10 ×10

= 84

12 12

Ex.4⁄5

1. 6

2. 6

3. 2

4. 4 1⁄6

5.6⁄12

6. 2 9⁄12

7. 3 1⁄3

8. 5

9. 1 6⁄12

10. 2

11. 1 2⁄4

12. 1 3⁄5

13. 1

14. 2 5⁄8

15. 2

16.8⁄12

17. 1

18. 1

19. 8 2⁄6

20. 8 4⁄12

Multiplying Fractions by Whole NumbersSolve each problem. Answer as a mixed fraction.

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Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex)7 ×

3= 3

36 6

1)8 ×

1= 2

23 3

2)5 ×

10= 4

212 12

3) 1× 2 =

24 4

4) 1× 4 =

45 5

5)6 ×

3= 3

35 5

6) 3× 2 = 1

67)

6 ×1

= 23

8) 2× 4 =

812 12

9)10 ×

2= 2

1010)

10 ×3

= 36

8 811)

5 ×1

=5

8 8

12)2 ×

5=

1012 12

13)9 ×

6= 6

68 8

14)5 ×

1=

56 6

15) 3× 10 = 7

24 4

16) 1× 9 = 2

14 4

17)5 ×

1= 1

14 4

18)2 ×

3=

610 10

19)10 ×

4= 6

46 6

20)8 ×

4= 2

812 12

Ex. 3 3⁄6

1. 2 2⁄3

2. 4 2⁄12

3.2⁄4

4.4⁄5

5. 3 3⁄5

6. 1

7. 2

8.8⁄12

9. 2

10. 3 6⁄8

11.5⁄8

12.10⁄12

13. 6 6⁄8

14.5⁄6

15. 7 2⁄4

16. 2 1⁄4

17. 1 1⁄4

18.6⁄10

19. 6 4⁄6

20. 2 8⁄12

Multiplying Fractions by Whole NumbersSolve each problem. Answer as a mixed fraction.

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Answers Answer Key

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex)7 ×

3= 3

36 6

1)8 ×

1= 2

23 3

2)5 ×

10= 4

212 12

3) 1× 2 =

24 4

4) 1× 4 =

45 5

5)6 ×

3= 3

35 5

6) 3× 2 = 1

67)

6 ×1

= 23

8) 2× 4 =

812 12

9)10 ×

2= 2

1010)

10 ×3

= 36

8 811)

5 ×1

=5

8 8

12)2 ×

5=

1012 12

13)9 ×

6= 6

68 8

14)5 ×

1=

56 6

15) 3× 10 = 7

24 4

16) 1× 9 = 2

14 4

17)5 ×

1= 1

14 4

18)2 ×

3=

610 10

19)10 ×

4= 6

46 6

20)8 ×

4= 2

812 12

Ex. 3 3⁄6

1. 2 2⁄3

2. 4 2⁄12

3.2⁄4

4.4⁄5

5. 3 3⁄5

6. 1

7. 2

8.8⁄12

9. 2

10. 3 6⁄8

11.5⁄8

12.10⁄12

13. 6 6⁄8

14.5⁄6

15. 7 2⁄4

16. 2 1⁄4

17. 1 1⁄4

18.6⁄10

19. 6 4⁄6

20. 2 8⁄12

Multiplying Fractions by Whole NumbersSolve each problem. Answer as a mixed fraction.

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Answers

1-10 91 82 73 64 55 45 36 27 18 911 0

Ex) 2×

1=

1) 1×

4=

2) 1×

1=

7 4 4 7 3 2

3) 2×

2=

4) 2×

3=

5) 8×

2=

7 4 8 6 9 3

6) 3×

1=

7) 2×

1=

8) 5×

1=

8 2 6 5 9 2

9) 3×

2=

10) 5×

1=

11) 1×

2=

8 9 9 2 7 7

Ex.2⁄28

1.4⁄28

2.1⁄6

3.4⁄28

4.6⁄48

5.16⁄27

6.3⁄16

7.2⁄30

8.5⁄18

9.6⁄72

10.5⁄18

11.2⁄49

Multiplying Fractions (Visual)Use the box provided to show a visual example of how to multiply two fractions.

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Answers Answer Key

1-10 91 82 73 64 55 45 36 27 18 911 0

Ex) 2×

1=

1) 1×

4=

2) 1×

1=

7 4 4 7 3 2

3) 2×

2=

4) 2×

3=

5) 8×

2=

7 4 8 6 9 3

6) 3×

1=

7) 2×

1=

8) 5×

1=

8 2 6 5 9 2

9) 3×

2=

10) 5×

1=

11) 1×

2=

8 9 9 2 7 7

Ex.2⁄28

1.4⁄28

2.1⁄6

3.4⁄28

4.6⁄48

5.16⁄27

6.3⁄16

7.2⁄30

8.5⁄18

9.6⁄72

10.5⁄18

11.2⁄49

Multiplying Fractions (Visual)Use the box provided to show a visual example of how to multiply two fractions.

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Answers

1-10 91 82 73 64 55 45 36 27 18 911 0

Ex) 6×

1=

1) 2×

1=

2) 2×

1=

9 2 8 2 4 2

3) 5×

5=

4) 1×

1=

5) 1×

1=

6 8 6 5 6 3

6) 4×

7=

7) 3×

3=

8) 1×

3=

7 8 6 8 7 7

9) 4×

4=

10) 3×

1=

11) 1×

8=

8 5 8 8 8 9

Ex.6⁄18

1.2⁄16

2.2⁄8

3.25⁄48

4.1⁄30

5.1⁄18

6.28⁄56

7.9⁄48

8.3⁄49

9.16⁄40

10.3⁄64

11.8⁄72

Multiplying Fractions (Visual)Use the box provided to show a visual example of how to multiply two fractions.

6

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Answers Answer Key

1-10 91 82 73 64 55 45 36 27 18 911 0

Ex) 6×

1=

1) 2×

1=

2) 2×

1=

9 2 8 2 4 2

3) 5×

5=

4) 1×

1=

5) 1×

1=

6 8 6 5 6 3

6) 4×

7=

7) 3×

3=

8) 1×

3=

7 8 6 8 7 7

9) 4×

4=

10) 3×

1=

11) 1×

8=

8 5 8 8 8 9

Ex.6⁄18

1.2⁄16

2.2⁄8

3.25⁄48

4.1⁄30

5.1⁄18

6.28⁄56

7.9⁄48

8.3⁄49

9.16⁄40

10.3⁄64

11.8⁄72

Multiplying Fractions (Visual)Use the box provided to show a visual example of how to multiply two fractions.

6

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Answers

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) Rachel was packing up some of her old stuff into a box. A box canhold eight pounds, but she only filled it up two-quarters full. Howmuch weight was in the box?

2) A chef cooked seven kilograms of mashed potatoes for a dinnerparty. If the guests only ate three-quarters of the amount he cooked,how much did they eat?

3) A pitcher could hold two-twelfths of a gallon of water. If Rogerfilled up nine pitchers, how much water would he have?

4) Will ran four miles on his first day of training. The next day he ranone-third that distance. How far did he run the second day?

5) Billy stacked six pieces of wood on top of one another. If each piecewas three-quarters of a foot tall, how tall was his pile?

6) Debby needed one-third of a cup of water for 1 flower. If she hadnine flowers how many cups would she need?

7) On Monday it snowed nine inches. The next day it snowed one-halfthat amount. How much did it snow on the second day?

8) A farmer gives each of his horses one-sixth of a salt lick a month. Ifhe has seven horses, how many salt licks does he use a month?

9) Each day a company used seven-tenths of a box of paper. How manyboxes would they have used after three days?

10) A group of seven friends each received one-half of a pound of candy.How much candy did they receive total?

11) A dog groomer could clean six dogs in an hour. How many couldthey clean in five-tenths of an hour?

12) A bakery used three cups of flour to make a full size cake. If theywanted to make a cake that was one-half the size, how many cups offlour would they need?

1. 4

2. 5 1⁄4

3. 1 6⁄12

4. 1 1⁄3

5. 4 2⁄4

6. 3

7. 4 1⁄2

8. 1 1⁄6

9. 2 1⁄10

10. 3 1⁄2

11. 3

12. 1 1⁄2

Fraction Word ProblemsSolve each problem.

1

Page 14: Multiply fractions 4th-6th grades sample preview

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Answers Answer Key

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) Rachel was packing up some of her old stuff into a box. A box canhold eight pounds, but she only filled it up two-quarters full. Howmuch weight was in the box?

2) A chef cooked seven kilograms of mashed potatoes for a dinnerparty. If the guests only ate three-quarters of the amount he cooked,how much did they eat?

3) A pitcher could hold two-twelfths of a gallon of water. If Rogerfilled up nine pitchers, how much water would he have?

4) Will ran four miles on his first day of training. The next day he ranone-third that distance. How far did he run the second day?

5) Billy stacked six pieces of wood on top of one another. If each piecewas three-quarters of a foot tall, how tall was his pile?

6) Debby needed one-third of a cup of water for 1 flower. If she hadnine flowers how many cups would she need?

7) On Monday it snowed nine inches. The next day it snowed one-halfthat amount. How much did it snow on the second day?

8) A farmer gives each of his horses one-sixth of a salt lick a month. Ifhe has seven horses, how many salt licks does he use a month?

9) Each day a company used seven-tenths of a box of paper. How manyboxes would they have used after three days?

10) A group of seven friends each received one-half of a pound of candy.How much candy did they receive total?

11) A dog groomer could clean six dogs in an hour. How many couldthey clean in five-tenths of an hour?

12) A bakery used three cups of flour to make a full size cake. If theywanted to make a cake that was one-half the size, how many cups offlour would they need?

1. 4

2. 5 1⁄4

3. 1 6⁄12

4. 1 1⁄3

5. 4 2⁄4

6. 3

7. 4 1⁄2

8. 1 1⁄6

9. 2 1⁄10

10. 3 1⁄2

11. 3

12. 1 1⁄2

Fraction Word ProblemsSolve each problem.

1

Page 15: Multiply fractions 4th-6th grades sample preview

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Answers

When multiplying a fraction and a whole

number you can estimate the answer by

remember that the fraction is just part of a

number.

5 × 6 2/3 = In the example above, 6 2/3

is larger than 6 but less than 7.

So we know the answer is going to be between 5 × 6

and 5 × 7.

5 × 6 2/3 = 33 1/3The actual answer is 33 1/3

which is between 5 × 6 (30) and 5 × 7 (35).

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) 7 1⁄4 × 7 = A. 42 3⁄4 B. 48 3⁄4 C. 50 3⁄4 D. 47 1⁄4

2) 5 8⁄10 × 7 = A. 43 6⁄10 B. 40 6⁄10 C. 44 6⁄10 D. 28 6⁄10

3) 5 1⁄7 × 4 = A. 28 4⁄7 B. 18 4⁄7 C. 26 4⁄7 D. 20 4⁄7

4) 8 4⁄7 × 7 = A. 60 B. 54 C. 64 D. 65

5) 4 × 7 2⁄3 = A. 30 2⁄3 B. 35 2⁄3 C. 24 2⁄3 D. 36 2⁄3

6) 3 × 8 2⁄8 = A. 24 6⁄8 B. 21 2⁄8 C. 30 6⁄8 D. 28 6⁄8

7) 6 × 2 8⁄10 = A. 20 8⁄10 B. 19 8⁄10 C. 21 8⁄10 D. 16 8⁄10

8) 6 × 6 8⁄9 = A. 41 3⁄9 B. 34 3⁄9 C. 43 3⁄9 D. 35 3⁄9

9) 9 × 8 4⁄9 = A. 83 4⁄9 B. 76 C. 82 D. 70 4⁄9

10) 5 1⁄7 × 8 = A. 41 1⁄7 B. 56 1⁄7 C. 50 1⁄7 D. 38 1⁄7

11) 6 × 6 5⁄10 = A. 39 B. 34 5⁄10 C. 43 D. 44 5⁄10

12) 4 8⁄9 × 3 = A. 14 6⁄9 B. 16 6⁄9 C. 10 8⁄9 D. 18 6⁄9

1. C

2. B

3. D

4. A

5. A

6. A

7. D

8. A

9. B

10. A

11. A

12. A

Estimating Multiplication of FractionsDetermine the answer using estimation.

7

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Answers

When multiplying a fraction and a whole

number you can estimate the answer by

remember that the fraction is just part of a

number.

5 × 6 2/3 = In the example above, 6 2/3

is larger than 6 but less than 7.

So we know the answer is going to be between 5 × 6

and 5 × 7.

5 × 6 2/3 = 33 1/3The actual answer is 33 1/3

which is between 5 × 6 (30) and 5 × 7 (35).

Answer Key

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) 7 1⁄4 × 7 = A. 42 3⁄4 B. 48 3⁄4 C. 50 3⁄4 D. 47 1⁄4

2) 5 8⁄10 × 7 = A. 43 6⁄10 B. 40 6⁄10 C. 44 6⁄10 D. 28 6⁄10

3) 5 1⁄7 × 4 = A. 28 4⁄7 B. 18 4⁄7 C. 26 4⁄7 D. 20 4⁄7

4) 8 4⁄7 × 7 = A. 60 B. 54 C. 64 D. 65

5) 4 × 7 2⁄3 = A. 30 2⁄3 B. 35 2⁄3 C. 24 2⁄3 D. 36 2⁄3

6) 3 × 8 2⁄8 = A. 24 6⁄8 B. 21 2⁄8 C. 30 6⁄8 D. 28 6⁄8

7) 6 × 2 8⁄10 = A. 20 8⁄10 B. 19 8⁄10 C. 21 8⁄10 D. 16 8⁄10

8) 6 × 6 8⁄9 = A. 41 3⁄9 B. 34 3⁄9 C. 43 3⁄9 D. 35 3⁄9

9) 9 × 8 4⁄9 = A. 83 4⁄9 B. 76 C. 82 D. 70 4⁄9

10) 5 1⁄7 × 8 = A. 41 1⁄7 B. 56 1⁄7 C. 50 1⁄7 D. 38 1⁄7

11) 6 × 6 5⁄10 = A. 39 B. 34 5⁄10 C. 43 D. 44 5⁄10

12) 4 8⁄9 × 3 = A. 14 6⁄9 B. 16 6⁄9 C. 10 8⁄9 D. 18 6⁄9

1. C

2. B

3. D

4. A

5. A

6. A

7. D

8. A

9. B

10. A

11. A

12. A

Estimating Multiplication of FractionsDetermine the answer using estimation.

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1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0

1)5

1= ? Will the product be more or less than 5

4?

8 6 8

2) 5×

6= ? Will the product be more or less than

5?

6 4 6

3)5

2= ? Will the product be more or less than 5

1?

5 5 5

4) 2× 3

2= ? Will the product be more or less than 3

2?

3 3 3

5)3

5× 5

5= ? Will the product be more or less than 3

5?

8 7 8

6) 2×

28= ? Will the product be more or less than

28?

8 6 6

7)1

53= ? Will the product be more or less than

53?

5 9 9

8) 8×

6= ? Will the product be more or less than

8?

9 9 9

9)4

6= ? Will the product be more or less than

6?

4 7 7

10)9

11= ? Will the product be more or less than 9

6?

9 2 9

11)2 ×

6= ? Will the product be more or less than 2 ?

9

12)7 ×

4= ? Will the product be more or less than

4?

5 5

13) 2× 5 = ? Will the product be more or less than

2?

3 3

1. Less

2. More

3. Less

4. Less

5. More

6. Less

7. More

8. Less

9. More

10. More

11. Less

12. More

13. More

Finding Fraction ProductsUse 'More' or 'Less' to answer each question.

3

Page 18: Multiply fractions 4th-6th grades sample preview

Math www.CommonCoreSheets.com

Name:

Answers Answer Key

1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0

1)5

1= ? Will the product be more or less than 5

4?

8 6 8

2) 5×

6= ? Will the product be more or less than

5?

6 4 6

3)5

2= ? Will the product be more or less than 5

1?

5 5 5

4) 2× 3

2= ? Will the product be more or less than 3

2?

3 3 3

5)3

5× 5

5= ? Will the product be more or less than 3

5?

8 7 8

6) 2×

28= ? Will the product be more or less than

28?

8 6 6

7)1

53= ? Will the product be more or less than

53?

5 9 9

8) 8×

6= ? Will the product be more or less than

8?

9 9 9

9)4

6= ? Will the product be more or less than

6?

4 7 7

10)9

11= ? Will the product be more or less than 9

6?

9 2 9

11)2 ×

6= ? Will the product be more or less than 2 ?

9

12)7 ×

4= ? Will the product be more or less than

4?

5 5

13) 2× 5 = ? Will the product be more or less than

2?

3 3

1. Less

2. More

3. Less

4. Less

5. More

6. Less

7. More

8. Less

9. More

10. More

11. Less

12. More

13. More

Finding Fraction ProductsUse 'More' or 'Less' to answer each question.

3

Page 19: Multiply fractions 4th-6th grades sample preview

Math

Name:

www.CommonCoreSheets.com

Answers

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) A soda shop owner told his employee to add 3 full cups and 4⁄7 of a cup of syrup toeach gallon of soda. If there were 3 gallons of soda, how much syrup would beneeded?

2) A batch of chicken required 4 6⁄7 cups of flour. If a fast food restaurant was making 3 3

⁄4 batches, how much flour would they need?

3) When Vanessa charges her 3DS fully it lasts for 2 hours. If she only charged it 2⁄8 full,how long would it last?

4) Frank filled a pitcher up 3⁄4 full then poured 1⁄2 of the pitcher into a glass. Whatfraction of the total pitcher did he pour into the glass?

5) A new dish washing machine used 3 3⁄6 gallons of water per full load to clean dishes.If Ned washed 4⁄7 of a load, how many gallons of water would be used?

6) A restaurant had 2 full boxes of spoons and 2⁄4 of a box. If each full box weighed 4kilograms, what is the combined weight of the boxes the restaurant has?

7) Faye needed a piece of string to be exactly 3 2⁄4 feet long. If the string she has is 4 2⁄4times as long as it should be, how long is the string?

8) Lana bought a buch of packages of gum at the gas station and ate 2⁄4 of a packageeach week. How much would she have eaten after 4 weeks?

9) At the malt shop a large chocolate shake takes 1⁄7 of a pint of milk. If the mediumshake takes 3⁄5 the amount of a large, how much does the medium shake take?

10) A full truck weighed 3 2⁄6 tons. If the truck was only 4⁄6 full, how much would itweigh?

11) Each day a carwash used 4 1⁄2 gallons of soap. After 4 days, how much soap wouldthey have used?

12) A package of paper weighs 4 4⁄7 ounces. If Jerry put 3 1⁄2 packages of paper on a scale,how much would they weigh?

1. 10 5⁄7

2. 18 6⁄28

3.4⁄8

4.3⁄8

5. 2

6. 10

7. 15 12⁄16

8. 2

9.3⁄35

10. 2 8⁄36

11. 18

12. 16

Fraction Word ProblemsSolve each problem. Write your answer as a mixed number (if possible).

9

Page 20: Multiply fractions 4th-6th grades sample preview

Math

Name:

www.CommonCoreSheets.com

Answers Answer Key

1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) A soda shop owner told his employee to add 3 full cups and 4⁄7 of a cup of syrup toeach gallon of soda. If there were 3 gallons of soda, how much syrup would beneeded?

2) A batch of chicken required 4 6⁄7 cups of flour. If a fast food restaurant was making 3 3

⁄4 batches, how much flour would they need?

3) When Vanessa charges her 3DS fully it lasts for 2 hours. If she only charged it 2⁄8 full,how long would it last?

4) Frank filled a pitcher up 3⁄4 full then poured 1⁄2 of the pitcher into a glass. Whatfraction of the total pitcher did he pour into the glass?

5) A new dish washing machine used 3 3⁄6 gallons of water per full load to clean dishes.If Ned washed 4⁄7 of a load, how many gallons of water would be used?

6) A restaurant had 2 full boxes of spoons and 2⁄4 of a box. If each full box weighed 4kilograms, what is the combined weight of the boxes the restaurant has?

7) Faye needed a piece of string to be exactly 3 2⁄4 feet long. If the string she has is 4 2⁄4times as long as it should be, how long is the string?

8) Lana bought a buch of packages of gum at the gas station and ate 2⁄4 of a packageeach week. How much would she have eaten after 4 weeks?

9) At the malt shop a large chocolate shake takes 1⁄7 of a pint of milk. If the mediumshake takes 3⁄5 the amount of a large, how much does the medium shake take?

10) A full truck weighed 3 2⁄6 tons. If the truck was only 4⁄6 full, how much would itweigh?

11) Each day a carwash used 4 1⁄2 gallons of soap. After 4 days, how much soap wouldthey have used?

12) A package of paper weighs 4 4⁄7 ounces. If Jerry put 3 1⁄2 packages of paper on a scale,how much would they weigh?

1. 10 5⁄7

2. 18 6⁄28

3.4⁄8

4.3⁄8

5. 2

6. 10

7. 15 12⁄16

8. 2

9.3⁄35

10. 2 8⁄36

11. 18

12. 16

Fraction Word ProblemsSolve each problem. Write your answer as a mixed number (if possible).

9