Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than...
Transcript of Renaming mixed numbers as improper fractions · Rename the mixed number as a fraction greater than...
Renaming mixed numbers as improper fractions
https://www.youtube.com/watch?v=TrutPJf9GmQ
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The most important part of the video is from 1:40 to the end. This will give a step-by-step visual.
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
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
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.)
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
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.