Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than...

7
Renaming mixed numbers as improper fractions

Transcript of Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than...

Page 1: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

Renaming mixed numbers as improper fractions

Page 2: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

https://www.youtube.com/watch?v=TrutPJf9GmQ

Help Video

The most important part of the video is from 1:40 to the end. This will give a step-by-step visual.

Page 3: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

Steps

Make the mixed numbers MAD M= Multiply denominator and whole number

A= Add product and numerator. The sum is your numerator. D= Denominator stays the same

Page 4: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

Steps

Chapter 6206

Rename Mixed Numbers as Fractions6-5

(8 2) 38

!

198

Rename as a fractiongreater than one.

To rename a mixed number as afraction greater than one:

Add the product to thenumerator.

Multiply the whole numberby the denominator.

Write the sum as the numeratorand the given denominatoras the denominator.

+ + = 211 38

38

2 38 1 3

81

88

38

88

2 38

16 38

2 38

198

!

19 eighths

Then add:16 3 19

Multiply:8 2 16!

04.

Rename each as a fraction greater than one.

Rename each mixed number. Write the letter of the correct answer.

01. (2 ?) ?2

!2 12

?2

03. (? 10) ??

!10 35

??

02. (4 ?) ?4

!6 34

?4

11 35

05. 12 47

a. 553 b. 5

58 c. 585 d. 3

55

a. 788 b. 84

7 c. 784 d. 88

7

06. 15 56 a. 95

6 b. 856 c. 6

95 d. 685

8205-4_206-207 10/6/07 8:55 PM Page 206

Chapter 6206

Rename Mixed Numbers as Fractions6-5

(8 2) 38

!

198

Rename as a fractiongreater than one.

To rename a mixed number as afraction greater than one:

Add the product to thenumerator.

Multiply the whole numberby the denominator.

Write the sum as the numeratorand the given denominatoras the denominator.

+ + = 211 38

38

2 38 1 3

81

88

38

88

2 38

16 38

2 38

198

!

19 eighths

Then add:16 3 19

Multiply:8 2 16!

04.

Rename each as a fraction greater than one.

Rename each mixed number. Write the letter of the correct answer.

01. (2 ?) ?2

!2 12

?2

03. (? 10) ??

!10 35

??

02. (4 ?) ?4

!6 34

?4

11 35

05. 12 47

a. 553 b. 5

58 c. 585 d. 3

55

a. 788 b. 84

7 c. 784 d. 88

7

06. 15 56 a. 95

6 b. 856 c. 6

95 d. 685

8205-4_206-207 10/6/07 8:55 PM Page 206

Step 1

16

Chapter 6206

Rename Mixed Numbers as Fractions6-5

(8 2) 38

!

198

Rename as a fractiongreater than one.

To rename a mixed number as afraction greater than one:

Add the product to thenumerator.

Multiply the whole numberby the denominator.

Write the sum as the numeratorand the given denominatoras the denominator.

+ + = 211 38

38

2 38 1 3

81

88

38

88

2 38

16 38

2 38

198

!

19 eighths

Then add:16 3 19

Multiply:8 2 16!

04.

Rename each as a fraction greater than one.

Rename each mixed number. Write the letter of the correct answer.

01. (2 ?) ?2

!2 12

?2

03. (? 10) ??

!10 35

??

02. (4 ?) ?4

!6 34

?4

11 35

05. 12 47

a. 553 b. 5

58 c. 585 d. 3

55

a. 788 b. 84

7 c. 784 d. 88

7

06. 15 56 a. 95

6 b. 856 c. 6

95 d. 685

8205-4_206-207 10/6/07 8:55 PM Page 206

Step 2

Step 3 Write denominator from

mixed number

This is your new numerator!

19/8

Page 5: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

Practice Problems Complete the following problems with your notes. Once you’ve

completed them, click to the next slide and check your answers.

Chapter 6206

Rename Mixed Numbers as Fractions6-5

(8 2) 38

!

198

Rename as a fractiongreater than one.

To rename a mixed number as afraction greater than one:

Add the product to thenumerator.

Multiply the whole numberby the denominator.

Write the sum as the numeratorand the given denominatoras the denominator.

+ + = 211 38

38

2 38 1 3

81

88

38

88

2 38

16 38

2 38

198

!

19 eighths

Then add:16 3 19

Multiply:8 2 16!

04.

Rename each as a fraction greater than one.

Rename each mixed number. Write the letter of the correct answer.

01. (2 ?) ?2

!2 12

?2

03. (? 10) ??

!10 35

??

02. (4 ?) ?4

!6 34

?4

11 35

05. 12 47

a. 553 b. 5

58 c. 585 d. 3

55

a. 788 b. 84

7 c. 784 d. 88

7

06. 15 56 a. 95

6 b. 856 c. 6

95 d. 685

8205-4_206-207 10/6/07 8:55 PM Page 206

Chapter 6 207

Explain in your Math Journal:

• how to use drawings or models to prove that . 11

4

411

Rename each as a fraction greater than one.

37.

Rename the mixed number as a fraction greater than one.

41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces. How long is each piece? Write the length as a mixed number.

42. The flying time from New Yorkto Los Angeles is h. Write this time as a fraction greater than one.

43.

07. 2 18

13. 6 117 14. 7 5

21 17. 9 56 18. 8 7

9

23. 5 29 24. 7

9105

171922

17441339

1455124

30.

19. 2 47 20. 3 7

25

08. 5 34 09. 3 1

7

15. 3 316

10. 6 710 11. 11 2

3

16. 10 12

21. 10 25

25. 15 14

22. 12 16

26. 8 23

31. 32. 3 57 33. 34. 35. 36.

27. 14 45 28. 10 5

8 29. 12 34

12. 4 35

A sheet of tin is ft long.4 59 38. A book page is in. wide.1

107

39. A bag of fertilizer weighs lb.31 38 40. A gasoline tank contains gal.3

420

5 23

How many equal pieces of wood that weigh between 15 and 16 ounces can be made from a 110-ounce block if the whole block is used? How much will each piece weigh?

44.

342

56

116

176

• the relationship among 2 , 1 ,and .

8205-4_206-207 7/14/05 5:43 AM Page 207

Chapter 6 207

Explain in your Math Journal:

• how to use drawings or models to prove that . 11

4

411

Rename each as a fraction greater than one.

37.

Rename the mixed number as a fraction greater than one.

41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces. How long is each piece? Write the length as a mixed number.

42. The flying time from New Yorkto Los Angeles is h. Write this time as a fraction greater than one.

43.

07. 2 18

13. 6 117 14. 7 5

21 17. 9 56 18. 8 7

9

23. 5 29 24. 7

9105

171922

17441339

1455124

30.

19. 2 47 20. 3 7

25

08. 5 34 09. 3 1

7

15. 3 316

10. 6 710 11. 11 2

3

16. 10 12

21. 10 25

25. 15 14

22. 12 16

26. 8 23

31. 32. 3 57 33. 34. 35. 36.

27. 14 45 28. 10 5

8 29. 12 34

12. 4 35

A sheet of tin is ft long.4 59 38. A book page is in. wide.1

107

39. A bag of fertilizer weighs lb.31 38 40. A gasoline tank contains gal.3

420

5 23

How many equal pieces of wood that weigh between 15 and 16 ounces can be made from a 110-ounce block if the whole block is used? How much will each piece weigh?

44.

342

56

116

176

• the relationship among 2 , 1 ,and .

8205-4_206-207 7/14/05 5:43 AM Page 207

Chapter 6 207

Explain in your Math Journal:

• how to use drawings or models to prove that . 11

4

411

Rename each as a fraction greater than one.

37.

Rename the mixed number as a fraction greater than one.

41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces. How long is each piece? Write the length as a mixed number.

42. The flying time from New Yorkto Los Angeles is h. Write this time as a fraction greater than one.

43.

07. 2 18

13. 6 117 14. 7 5

21 17. 9 56 18. 8 7

9

23. 5 29 24. 7

9105

171922

17441339

1455124

30.

19. 2 47 20. 3 7

25

08. 5 34 09. 3 1

7

15. 3 316

10. 6 710 11. 11 2

3

16. 10 12

21. 10 25

25. 15 14

22. 12 16

26. 8 23

31. 32. 3 57 33. 34. 35. 36.

27. 14 45 28. 10 5

8 29. 12 34

12. 4 35

A sheet of tin is ft long.4 59 38. A book page is in. wide.1

107

39. A bag of fertilizer weighs lb.31 38 40. A gasoline tank contains gal.3

420

5 23

How many equal pieces of wood that weigh between 15 and 16 ounces can be made from a 110-ounce block if the whole block is used? How much will each piece weigh?

44.

342

56

116

176

• the relationship among 2 , 1 ,and .

8205-4_206-207 7/14/05 5:43 AM Page 207

1.)

2.)

3.)

4.)

Page 6: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

Practice Problems: ANSWERS

Chapter 6206

Rename Mixed Numbers as Fractions6-5

(8 2) 38

!

198

Rename as a fractiongreater than one.

To rename a mixed number as afraction greater than one:

Add the product to thenumerator.

Multiply the whole numberby the denominator.

Write the sum as the numeratorand the given denominatoras the denominator.

+ + = 211 38

38

2 38 1 3

81

88

38

88

2 38

16 38

2 38

198

!

19 eighths

Then add:16 3 19

Multiply:8 2 16!

04.

Rename each as a fraction greater than one.

Rename each mixed number. Write the letter of the correct answer.

01. (2 ?) ?2

!2 12

?2

03. (? 10) ??

!10 35

??

02. (4 ?) ?4

!6 34

?4

11 35

05. 12 47

a. 553 b. 5

58 c. 585 d. 3

55

a. 788 b. 84

7 c. 784 d. 88

7

06. 15 56 a. 95

6 b. 856 c. 6

95 d. 685

8205-4_206-207 10/6/07 8:55 PM Page 206

Chapter 6 207

Explain in your Math Journal:

• how to use drawings or models to prove that . 11

4

411

Rename each as a fraction greater than one.

37.

Rename the mixed number as a fraction greater than one.

41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces. How long is each piece? Write the length as a mixed number.

42. The flying time from New Yorkto Los Angeles is h. Write this time as a fraction greater than one.

43.

07. 2 18

13. 6 117 14. 7 5

21 17. 9 56 18. 8 7

9

23. 5 29 24. 7

9105

171922

17441339

1455124

30.

19. 2 47 20. 3 7

25

08. 5 34 09. 3 1

7

15. 3 316

10. 6 710 11. 11 2

3

16. 10 12

21. 10 25

25. 15 14

22. 12 16

26. 8 23

31. 32. 3 57 33. 34. 35. 36.

27. 14 45 28. 10 5

8 29. 12 34

12. 4 35

A sheet of tin is ft long.4 59 38. A book page is in. wide.1

107

39. A bag of fertilizer weighs lb.31 38 40. A gasoline tank contains gal.3

420

5 23

How many equal pieces of wood that weigh between 15 and 16 ounces can be made from a 110-ounce block if the whole block is used? How much will each piece weigh?

44.

342

56

116

176

• the relationship among 2 , 1 ,and .

8205-4_206-207 7/14/05 5:43 AM Page 207

Chapter 6 207

Explain in your Math Journal:

• how to use drawings or models to prove that . 11

4

411

Rename each as a fraction greater than one.

37.

Rename the mixed number as a fraction greater than one.

41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces. How long is each piece? Write the length as a mixed number.

42. The flying time from New Yorkto Los Angeles is h. Write this time as a fraction greater than one.

43.

07. 2 18

13. 6 117 14. 7 5

21 17. 9 56 18. 8 7

9

23. 5 29 24. 7

9105

171922

17441339

1455124

30.

19. 2 47 20. 3 7

25

08. 5 34 09. 3 1

7

15. 3 316

10. 6 710 11. 11 2

3

16. 10 12

21. 10 25

25. 15 14

22. 12 16

26. 8 23

31. 32. 3 57 33. 34. 35. 36.

27. 14 45 28. 10 5

8 29. 12 34

12. 4 35

A sheet of tin is ft long.4 59 38. A book page is in. wide.1

107

39. A bag of fertilizer weighs lb.31 38 40. A gasoline tank contains gal.3

420

5 23

How many equal pieces of wood that weigh between 15 and 16 ounces can be made from a 110-ounce block if the whole block is used? How much will each piece weigh?

44.

342

56

116

176

• the relationship among 2 , 1 ,and .

8205-4_206-207 7/14/05 5:43 AM Page 207

Chapter 6 207

Explain in your Math Journal:

• how to use drawings or models to prove that . 11

4

411

Rename each as a fraction greater than one.

37.

Rename the mixed number as a fraction greater than one.

41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces. How long is each piece? Write the length as a mixed number.

42. The flying time from New Yorkto Los Angeles is h. Write this time as a fraction greater than one.

43.

07. 2 18

13. 6 117 14. 7 5

21 17. 9 56 18. 8 7

9

23. 5 29 24. 7

9105

171922

17441339

1455124

30.

19. 2 47 20. 3 7

25

08. 5 34 09. 3 1

7

15. 3 316

10. 6 710 11. 11 2

3

16. 10 12

21. 10 25

25. 15 14

22. 12 16

26. 8 23

31. 32. 3 57 33. 34. 35. 36.

27. 14 45 28. 10 5

8 29. 12 34

12. 4 35

A sheet of tin is ft long.4 59 38. A book page is in. wide.1

107

39. A bag of fertilizer weighs lb.31 38 40. A gasoline tank contains gal.3

420

5 23

How many equal pieces of wood that weigh between 15 and 16 ounces can be made from a 110-ounce block if the whole block is used? How much will each piece weigh?

44.

342

56

116

176

• the relationship among 2 , 1 ,and .

8205-4_206-207 7/14/05 5:43 AM Page 207

1.)

2.)

3.)

4.)

58/5

23/4

82/25

18/7

Page 7: Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than one. 41. A piece of lumber that is 40 in. long has been cut into 7 equal pieces.

Later in the week, you will complete problems like these on Prodigy. At first glance, they may look confusing. I gave a

step by step of what to do.

This is your problem

This is your M (multiply) stepX 1 2

This is your A (add) step

Your product from multiplying goes here.

2 + 3

This is your answer.