LESSON Practice B Mixed Numbers and Improper Fractions



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LESSON Practice B 4-7 Mixed Numbers and Improper Fractions

Write each mixed number as an improper fraction.

1. 312

2. 213

3. 514

4. 137

5. 334

6. 413

7. 235

8. 356

9. 713

Write each improper fraction as a mixed number or whole

number. Tell whether your answer is a mixed number or

whole number.

10. 137

11. 480

12. 478

13. 3130

14. 580

15. 893

16. 1804

17. 1621

18. 7181

19. The hotel ordered an extra-long rug for a hallway that is 1223 feet long. What is the rug's length in feet and inches? Remember, 1 foot 12 inches.

20. During this year's football-throwing contest, John threw the ball 4923 feet. Sharon threw the ball 51 feet. Who threw the ball 1353 feet?

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

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Holt Middle School Math Course 1

LESSON Exploration Recording Sheet 4-7 Mixed Numbers and Improper Fractions

An improper fraction is equal to or greater than 1. The model shows that 74 44 34 1 34.

1

1

1

1

4

4

4

4

1

1

1

1

4

4

4

The mixed number 134 1 34.

For each improper fraction, complete the model and write the improper fraction as a mixed number.

1

1

1

1

1

1. 53

3

3

3

3

3

1

7 4

123

2. 76

111111 1 666666 6

1

116

3. 64

11 11 44 44

11 44

11

112

Think and Discuss 4. Explain why 64 112.

Possible answer: 46 44 42; 44 1 and 42 is the same as 21 so 46 121.

5. Discuss a situation in which improper fractions are used.

Possible answer: Measuring snow or rainfall amounts

LESSON Practice A 4-7 Mixed Numbers and Improper Fractions

Determine whether each fraction is proper or improper.

1. 14

2. 34

3. 74

proper

proper

4. 93

5. 23

6. 62

improper

proper

improper improper

Write each mixed number as an improper fraction.

7. 112 32

8. 113 43

10. 114 54

11. 123 53

9. 212 52

12. 213 73

Write each improper fraction as a mixed number or whole

number. Tell whether your answer is a mixed number or whole

number.

13. 41

4; whole number

14. 63

2; whole number

15. 43

113; mixed number

16. 52

212; mixed number

17. 75

125; mixed number

18. 32

112; mixed number

19. Mickey timed her speech at 152 minutes. She cannot go over 2 minutes. Should she add more to her speech, or cut some

lines? Explain.

She should cut

some

lines

because

152

252

minutes,

which is longer than 2 minutes.

20.

In a frog-jumping contest, Jim's Matthew's frog hopped 123 feet.

frog hopped Whose frog

213 feet. hopped

73

feet?

Jim's frog

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

65

Holt Middle School Math Course 1

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

66

Holt Middle School Math Course 1

LESSON Practice B 4-7 Mixed Numbers and Improper Fractions

Write each mixed number as an improper fraction.

1. 312 72

2. 213 73

3. 514 241

4. 137 170

5. 334 145

6. 413 133

7. 235 153

8. 356 263

9. 713 232

Write each improper fraction as a mixed number or whole

number. Tell whether your answer is a mixed number or

whole number.

10. 137

523; mixed number

11. 480

5; whole number

12. 478

667; mixed number

13. 3130

3130 ; mixed number

14. 580

614; mixed number

15. 893

929; mixed number

16. 1084

13; whole number

17. 1261

2061; mixed number

18. 7181

7111 ; mixed number

19. The hotel ordered an extra-long rug for a hallway that is 1223 feet long. What is the rug's length in feet and inches? Remember, 1 foot 12 inches.

61 feet and 6 inches

20. During this year's football-throwing contest, John threw the ball 4923 feet. Sharon threw the ball 51 feet. Who threw the ball 1533 feet?

Sharon

LESSON Practice C 4-7 Mixed Numbers and Improper Fractions

Write each mixed number as an improper fraction.

1. 225 152

2. 1150 1150

3. 634 247

4. 259 293

5. 1423 434

6. 2191 1311

Write each improper fraction as a mixed number or whole

number. Tell whether your answer is a mixed number or whole

number.

7. 1671

23; whole number

8. 743

1841; mixed number

9. 592

579; mixed number

10. 2295

25; whole number

11. 21314

12. 11227

21131 ; mixed number

10172; mixed number

Replace each shape with a number that will make the equation

correct.

13. L27 9o3

13; 7

14. L38 6o7

8; 8

15. L45 6o4

12; 5

16. 431L5 6o47

2; 15

17. 13L9 1o24

7; 9

18. 14 L8 1o13

1; 8

19. Amy made a video that is 5,400 seconds long. What is the video's running time in hours and minutes?

1 hour and 30 minutes

20. Justin accidentally erased the numerator of the fraction part of a mixed number. He knows that its whole number part is 45 and the denominator of the fraction part is 9. He also knows that when the mixed number is written as an improper fraction, its numerator is 412. What is the numerator that Justin erased?

7

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

67

Holt Middle School Math Course 1

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

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Holt Middle School Math Course 1

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

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Holt Middle School Math Course 1

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