Embed Size (px)
Citation preview
26
Line Up in Order 4.2
Name _________________________________________ Date ___________________
Make each fraction a mixed number. Draw a circle around the largest and a square around the smallest.
14
9
26
3
14
3
36
9
75
11
54
8
73
8
96
11
2
714
1
713
4
718
1
710
3
921
8
94
6
97
7
912
3
816
8
84
7
89
6
812
19
6
18
7
34
7
27
6
27
5
18
4
28
4
36
5
1
5
3
4
3
10
1
3
1
4
2
3
4
7
2
4
1
7
5
9
3
8
4
8
Make each mixed number an improper fraction and write them in order beginning with the smallest.
Put each series of three numbers in order, beginning with the smallest, by finding the lowest common denominator.
1. 3.
2. 4.
5. 7.
6. 8.
9. 11.
10. 12.
6
106
1
101
3
108
6
105
33
Fabulous Fractions 4.3
Name _________________________________________ Date ___________________
Write four fractions equivalent to each of these.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Fill in the missing numbers.
Put these fractions in order from smallest to greatest.
19. more than but less than
20. one half of
21. less than but more than
22. half way between and
23. the same as
24. double
Write a fraction that is. . .
Directions: Using the digits 1, 2, 3, and 4, how many different fractions can you make that
are greater than ?
1
5
3
6
2
5
7
9
6
7
4
10
10
12
2
10
1
10
9
10
1
12
5
12
21
48
5
11
4532
5614
63110
3
6
12
79
10
4
7
4
6
2
5
2
7
6
7
4
5
3
5
1
6
4
5
3
6
2
3
1
2
3
4
1
3
2
3
4
5
4
5
1
2
1
2
1
4
=
= =
==
=
4
9
3
7
2
3
1
9
1
6
1
3
4
9
3
6
5
6
8
12
6
24
3
4
1
3
50
Just How Much? 4.5
Name _________________________________________ Date ___________________
Directions: Write the answers to these problems in the boxes.
______________________________________________
1. How much is of 215? 11. What fraction of a year is one week?
12. What fraction of a week is two days? 2. What is of 716?
13. What fraction of a kilogram is 725 g? 3. How much is of 603?
14. What fraction of a liter is 270 mL? 4. What is of 196?
15. How much is of $9.50? 5. How much is of 1,275 mL?
16. What is of $7.56? 6. How much is of 850 g?
17. What fraction of an hour is 120 seconds?
7. Which is the heavier, of 250 g or of 400 g?
18. What fraction of a day is 240 minutes?
8. Which is bigger, of 45 m or of 75 m?
19. What fraction of a kilometer is 150 cm?
9. How much must be added to of 275 to make 100?
20. Which is bigger, of 975 or of 863?
10. How much more than 90 is of 980?
14
13
23
45
14
12
14
34
121
3
14
12
15
18
45
23
x 100 x 1,000
Page 26
1. 2,092,000 g
2. 849 cm
3. a. 42,500 mL
b. $17.85; 1,785 cents
Page 33
When dividing a decimal by 10, the digits
move one place to the left.
When dividing a decimal by 100, the digits
move two places to the left.
When dividing a decimal by 1,000, the
digits move three places to the left.
151
Answer Key Student Pages
Page 19
A
1. 128
2. 315
3. 180
4. 286
5. 777
6. 378
7. 324
8. 325
9. 434
10. 304
11. 32
12. 48
13. 45
14. 42
15. 86
B
1. 910
2. 756
3. 1,300
4. 2,016
5. 1,550
6. 1,102
7. 1,925
8. 1,092
9. 1,128
Page 25
When multiplying a decimal by 10, the
digits move one place to the right.
When multiplying a decimal by 100, the
digits move two places to the right.
When multiplying a decimal by 1,000, the
digits move three places to the right.
3.41
612
5.9
1.56
0.5
0.13
0.02
1,245
25.12
150
169
63.8
0.72
41.6
0.052
121
34.1
6,120
59
15.6
5
1.3
0.2
12,450
251.2
1,500
1,690
638
7.2
416
0.52
1,210
x 10
3.41
979
9.2
7.15
0.1
0.52
0.0015
6,931
44.25
851.06
0.14
66.8
0.39
0.26
77.2
17.46
341.0
97,900
920
715
10
52
0.15
693,100
4,425
85,106
14
6,680
39
26
7,720
1,746
3.41
1,531
6.7
8.629
0.45
0.0124
0.001321
96,723
450
74.13
0.0222
.0145
51.79
62.18
0.001456
0.08520
3,410.0
1,531,000
6,700
8,629
450
12.4
1.321
96,723,000
450,000
74,130
22.2
145
51,790
62,180
1.456
85.20
140
Answer Key Student Pages
Meadow Mix
Poppy 26
Buttercup 65
Clover 52
Grass 117
Border Bulbs
Daffodil 24
Tulip 4
Crocus 8
Snowdrop 36
Page 50
1. 533/4
2. 2382/3
3. 402
4. 1564/5
5. 3183/4
6. 6371/2
7. 1/3 of 400 g
8. 1/2 of 75 m
9. 45
10. 321/2
11. 1/52
12. 2/7
13. 29/40
14. 27/100
15. $4.75
16. $1.89
17. 1/30
18. 1/6
19. 3/2000
20. 4/5 of 975
Page 57
0.102, 0.12, 0.210, 0.305, 0.31, 0.405,
0.45, 0.451, 0.55
Page 58
plant # order: 8, 4, 2, 1, 6, 5, 3, 10, 7, 9
Page 59
1. 18
2. 0.09
3. 6.9
4. -0.0375
5. -28.25
6. 68.75
Page 67
1. 0.75
2. 0.6
3. 0.9
4. 0.25
5. 0.75
6. 0.75
7. 1/4
8. 1/3
9. 8/10 = 4/5
10. 4/10 = 2/5
11. 1/2
12. 1/8
Page 753.02, 3.12, 3.21, 3.26, 3.48, 3.56, 3.62, 3.65,
8.05, 8.06, 8.5, 8.52, 8.53, 8.54, 8.55, 8.6
2.75, 3.96, 5.19, 6.38, 7.54, 8.41, 13.61, 15.97
2.34, 2.43, 3.24, 3.42, 5.69, 5.96, 6.59, 6.95
1.47, 1.74, 4.17, 4.71, 5.7, 7.14, 7.41, 7.5
5.132, 5.213, 5.345, 6.324, 6.334, 6.410, 7.529, 7.925
Page 85
1. 5.1, 5
2. 7.0, 7
3. 15.2, 15
4. 0.6, 1
5. 2.1, 2
6. 4.0, 4
7. 7.1, 7
8. 8.9, 9
9. 4.0,4
10. 17.3, 17
9—12
+ 10—12
= 1912 __ _ or 1 __
Sample C (Fractions)
Sample D (Mixed Numbers)
9–4
x 12—5
=
9–1
x 3–5
= 27—5
= 5 2–5
Sample E (Fractions)3–5
÷ 1–2
=
3–5
x –12 = 6–
5 = 1 1–
5
1
2
3–8
x 4—15
=
3
1
1
5
Facts to Know
Addition and Subtraction with Fractions and Mixed Numbers• Fractions and mixed numbers need to be arranged in the ladder form (one above the other) before
adding or subtracting.
• Find the common denominator for fractions with unlike denominators.
• The common denominator is the least common multiple of the two denominators.
• Reduce (simplify) all answers to the lowest terms.
Sample A (Fractions) Sample B (Mixed Numbers)
13
• • • • • • • • • • • Solve Word Problems with Fractions and Mixed Numbers
3 How to
12 77–8
_ 5 2–8
= 7 5–8
Multiplication of Fractions and Mixed Numbers
• Fractions are multiplied side by side.
• “Of” usually means multiply in word problems. (1–3
of . . .)
• Cancel any numerator that will divide evenly into any denominatoror any denominator that will cancel into a numerator.
• Canceling fractions is a way to reduce (simplify) the problem tolower terms.
• Canceling often (but not always) makes it unnecessary to reduce (simplify) the answer.
• Mixed numbers and whole numbers must be converted to improperfractions before they can be multiplied.
• Mixed numbers can be converted to improper fractions bymultiplying the denominator times the whole number and adding
the numerator. (3 1–2
= 7–2
)
• Whole numbers are converted to fractions by using 1 as the
denominator. (3 = 3–1
)
Division of Fractions and Mixed Numbers
• Fractions are divided side by side.
• Fractions are divided by finding the reciprocal of the second termand multiplying.
• The reciprocal of a fraction reverses the position of the numerator
and the denominator. 2–3
and 3–2
are reciprocals.
• Reciprocals are two fractions that multiply to a product of 1.
3–4
+ 5–6
= 11112 77–8
_ 5 1–4
=
1–2
x 1–5
= 1—10
2 1–4
x 2 2–5
=
712
• • • • • • • • • • • • • Solving Word Problems with Fractions and Mixed Numbers
14
3 Practice
Shaping Up
You and your friends are getting ready to try out for the team sports at your school. You’re pushingaway the second helpings of dessert and doing push-ups instead. You’re running the track instead ofusing the remote control for the television set.
Directions: Use the information on page 13 to help you solve these problems.
1. You start running every other day to get in shape gradually. On Monday you ran 1–3
of a mile and
on Wednesday you ran 3–4
of a mile. How far did you run in all? _______________
2. You ran 1 –2 3
miles on Friday and your best friend ran 1 1–4
miles. How much farther did you run?
_______________
3. The track you are using is 2–3
of a mile long. How far would you run if you took 4 laps around the
track? _________________
4. The track is 2–3
of a mile in length. How far do you run if you run 1–2
of the track? ______________
5. The quarterback on the football team ran 2 1–3
miles. The wide receiver ran 1–2
of that distance.
How far did the wide receiver run?______________
6. When you try out for the cross-country team, you have to run 12 laps to make the team. Each lap
is 2–3
of a mile. How far do you run? ________________
7. A forward on the basketball team ran 6 1–4
miles over a 5-day period. He ran exactly the same
distance each day. How far did he run each day? ______________
8. You ran 1 5–6
miles on Saturday and 2 4–9
miles on Sunday. How far did you run altogether?
______________
9. Your friend ran 3 1–6
miles on a day when you ran 2 2–3
miles. How much farther did your friend
run?_______________
10. A halfback ran 2 2–3
miles every day for 10 days. How many miles did he run altogether?________
Extension
• Keep a record of the number of miles you run on a track or a measured route for a week.
• Compute the total number of miles you ran.
• Calculate the average number of miles or partial miles you ran each day.
15
• • • • • • • • • Solving More Word Problems with Fractions and Mixed Numbers
3 Practice
Party Time
Your mother decides to have a pizza party to celebrate your birthday. All of the pizzas are the samesize although the toppings are different. You get to invite all of your friends.
Directions: Use the information on page 13 to help you solve these problems.
1. You ate 1–6
of a cheese pizza, 1–3
of a pepperoni pizza, and 1–4
of a sausage pizza. How much pizzadid you eat altogether? ___________________
2. Your mother had a punch bottle with 65 ounces of fruit punch. How many 6 1–2
ounce cups couldshe fill from this bottle? __________________
3. When she started to serve the pizza, your mother gave 1–4
of a pizza to each of the 15 people at theparty. How much pizza did she serve?_________________
4. Your best friend ate 3–8
of a pizza from 4 different pizzas. How much pizza did he eat?__________
5. A group of 3 of your friends divided 1 1–2
pizzas among them. How much did each friend eat? ______________
6. Your mother made several small birthday cakes. You ate 3—10
of a cake and your best friend ate 2–5
of a cake. How much more did your friend eat? ________________
7. One of the boys ate 9—16
of a cake and another ate 3–8
of a cake. How much did they eat altogether?
______________
8. Your mother had a 49-ounce bag of your favorite candy pieces called Bitabits. How many 3 1–2
ounce cups could she fill with Bitabits?______________
9. There were 20 people at your party. They ate 12 1–2
pizzas. What was the average amount of pizzaeaten by each partygoer?___________________
10. Each piece of cake was 2 1–4
ounces and 36 pieces were eaten. How many ounces of cake wereeaten? ______________
11. Each cup of punch had 6 1–2
ounces. There were 52 cups of punch. How many ounces of punchwere served? ______________
12. A group of 3 girls shared 4 1–2
ounces of cake. How many ounces of cake did each girl eat? ______
Extension
The partygoers ate 12 1–2
pizzas. Of this amount, 4 1–3
were pepperoni pizzas and 3 1–2
were cheese pizzas.
The remaining pizzas were sausage pizzas. How many sausage pizzas were eaten? __________
• • • • • Solving Even More Word Problems with Fractions and Mixed Numbers
16
3 Practice
Ride On!
You and your family go on a camping and riding vacation to a national park. You get to do a lot of bikeriding through some rough trails and along some scenic bike routes.
Directions: Use the information on page 13 to help you solve these problems.
1. You and 4 of your friends rode your bikes on a 6 3–4
mile trip to a lake before lunch. What was thetotal miles that all 5 of you rode? _____________
2. You rode up a long mountainous trail that was 3 7–8
miles long. Your mother took a gentler trailthat was 2 9—
10miles in length. How much farther did you ride? ________
3. You and a friend start on different trails and agree to meet at noon for lunch at a favorite campingground. You traveled 4 3–
5miles along your route. Your friend’s route was only 3 9—
10miles in
length. How much farther did you travel? _______
4. Your mother divided 4 1–2
pounds of high-energy trail mix among 9 bicyclists before a day trip.
How much trail mix did each bicyclist receive? _______
5. You rode a total of 6 1–3
miles on Monday, 4 1–2
miles on Tuesday, and 3 5–6
miles on Wednesday.How many miles did you ride in all? __________________
6. You ate 3–4
of a pound of dried nuts and fruits each day for 12 days. How much of this food didyou eat in the 12 days? _______
7. You rode 23 1–3
miles of dirt trail in 5 days. What was your average daily mileage? _________
8. You raced down a steep downhill track in 11 4–5
seconds. Your friend took 13 1–8
seconds. Howmany seconds faster were you? _______
9. The bike route around a lake was 2 3–4
miles. You rode 4 1–2
times around the lake. How far did youride? ___________
10. Your longest ride was 15 1–8
miles. Your shortest ride was 7 5—12
miles. What was the difference?________
Extension
Keep a daily record of how far you ride a bike, a scooter, or a skateboard for a week. You can estimatea regular block as 1—
10of a mile.
• Compute your total mileage for the week.
• Calculate your average daily mileage for the week.
• Multiply your weekly mileage by 4 1–3
to determine your monthly mileage.
46
?? ? • • • • • • • • • • • • • • • • • • • • • • Answer Key
Page 61. change
subtraction $2.12
2. money spentmultiplication $36.64
3. split evenlydivision 28 cards
4. amount neededsubtraction $10.33
5. total costaddition $129.17
6. how much savedsubtraction $2.21
7. total costmultiplication $41.58
Page 71. change
subtraction$16.11
2. % discountmultiplication$59.80
3. total costaddition$50.73
4. times as muchmultiplication$5,325
5. averagedivision11.03 miles
6. total costaddition$1,342.97
7. times as muchmultiplication$350.10
8. totaladdition125.3 miles
Page 81. how much change
subtraction$8.05
2. how much savedsubtraction$6.95
3. productmultiplication$113.85
4. how much leftsubtraction$25.41
5. split evenlydivision$1.59
6. share evenlydivision27 CDs
7. discountmultiplication$3.19
8. differencesubtraction$3.11
Page 101. addition
$34.422. subtraction
$2.553. subtraction
$7.504. addition
$40.475. subtraction
$3.506. addition
$78.417. addition
Answers will vary.
Page 111. multiplication
$45.002. division
$3.753. multiplication
$126.504. multiplication
$99.805. multiplication
$119.256. division
$1.79Challenge: $11.25; $8.75
Page 121. multiplication
$22.682. addition
$8.973. multiplication
$59.674. addition
$13.465. division
$17.046. subtraction
$2.70
Challenge:$70.20; 1 largecola, 1 Double BeanBurrito, 1 Tornado Taco; $0.39
Page 141. 7/12 miles2. 5/12 miles3. 2 2/3 miles4. 1/3 mile5. 1 1/6 miles6. 8 miles7. 1 1/4 miles8. 4 5/18 miles9. 1/2 mile
10. 26 2/3 miles
Extension: Answers willvary.
Page 151. 3/4 pizza2. 10 cups3. 3 3/4 pizzas4. 1 1/2 pizzas5. 1/2 pizza6. 1/10 cake7. 15/16 cake8. 14 cups9. 5/8 pizza
10. 81 ounces11. 338 ounces12. 1 1/2 ounces
Extension: 4 2/3 pizzas
Page 161. 33 3/4 miles2. 39/40 mile
3. 7/10 mile4. 1/2 lb.5. 14 2/3 miles6. 9 lbs.7. 4 5/3 miles8. 1 13/40 sec.9. 12 3/8 miles
10. 7 17/24 milesExtension: Answers willvary.
Page 181. $62.29; $237.712. $77.50; $160.213. $11.88; $148.334. $7.46; $29.82;
$118.515. $57.94; $60.576. $10.00; $60.00;
$0.577. $299.438. no
Page 191. 60%2. 24 shots3. 71% or 71.4%4. 17 shots5. 89% or 89.3%6. 19 shots7. 94% or 94.4%8. 65% or 64.7%9. 64% or 63.9%
10. 4 shotsChallenge: Answers willvary.
Page 201. 0.625 gallons2. 25.2 lbs.3. 4.4 oz.4. 43.2 lbs.5. 2.4 qts.6. 114.7 lbs.7. 19.5 lbs.8. 3.75 or 3 3/4 times9. 56% or 55.6%
10. 41%
Page 221. A. 314.5 sq. ft.
B. 34.9 or35 sq. yd.
8 .
• • • • • • • • • • • • Basic Fraction Concepts1 Practice
Directions: Change the improper fractions to mixed numbers. Remember to reduce to lowest terms.
1. 7–7–4
=
2. 9–5
=
3. 4–3
=
4. 8–5
=
5. 11—5
=
6. 14—8
=
7. 15—7
=
8. 22—10
=
9. 34—16
=
10. 40—8
=
Directions: Change the mixed number to an improper fraction.
11. 1 3–4
=
12. 1 3–5
=
13. 2 1–4
=
14. 2 7–8
=
15. 3 2–5
=
16. 4 1–3
=
17. 5 2–3
=
18. 11 1–2
=
19. 5 1–8
=
20. 4 5—12
=
Directions: Reduce the fraction to lowest terms.
21. 2–4
=
22. 4–6
=
23. 3—12
=
24. 8—12
=
25. 9—27
=
26. 12—26
=
27. 14—28
=
28. 10—30
=
29. 50—75
=
30. 111———222
=
Directions: Raise the fraction to higher terms.
31. 1–5
to 15ths =
32. 3–4
to 12ths =
33. 2–8
to 16ths =
34. 3—20
to 40ths =
35. 5–7
to 35ths =
36. 1–6
to 36ths =
37. 2–3
to 18ths =
38. 2–9
to 45ths =
Directions: Add the fractions. Remember to reduce to lowest terms.
39. 1–4
+ 2–4
=
40. 3–7
+ 2–7
=
41. 7—11
+ 4—11
=
42. 6–3
+ 4–3
=
43. 2–7
+ 6–7
=
44. 2 3–4
+ 5–4
=
45. 1 5–8
+ 7–8
=
46. 2 1–3
+ 4 4–3
=
Directions: Add the fractions. Remember to find a common denominator and then reduce to lowestterms.
47. 5–8
+ 3–4
=
48. 4–7
+ 9—28
=
49. 5–9
+ 11—36
=
50. 6 5–8
+ 7 11—24
=
51. 2–3
+ 7—12
+ 3–4
=
52. 3–5
+ 1–2
+ 7—10
=
53. 8 1–6
+ 3 7—24
=
54. 5 6—35
+ 9 2–7
=
55. 13—20
+ 4–5
+ 1–4
=
47 .
• • • • • • • • • • • • • • • • • • • • • • Answer Key
Page 81. 1 3/42. 1 4/53. 1 1/34. 1 3/55. 2 1/56. 1 3/47. 2 1/78. 2 1/59. 2 1/8
10. 511. 7/412. 8/513. 9/414. 23/815. 17/516. 13/317. 17/318. 23/219. 41/820. 53/1221. 1/222. 2/323. 1/424. 2/325. 1/326. 6/1327. 1/228. 1/329. 2/330. 1/231. 3/1532. 9/1233. 4/1634. 6/4035. 25/3536. 6/3637. 12/1838. 10/4539. 3/440. 5/741. 142 3 1/343. 1 1/744. 445. 2 1/246. 7 2/347. 1 3/848. 25/2849. 31/3650. 14 1/1251. 252. 1 4/5
53. 11 11/2454. 14 16/35 55. 1 7/10
Page 111. 2/52. 1/23. 1/124. 4/75. 6/236. 1/77. 1/28. 1/159. 1/3
10. 5/811. 1/212. 1/813. 5/914. 7/1015. 1/416. 19/3017. 4 1/418. 6 15/1619. 3 5/820. 9 2/721. 11 13/2522. 7 1/423. 4 3/424. 24 3/1725. 12 1/226. 4 2/7
Page 121. 3 1/42. 8 1/53. 6 7/124. 6 2/3 5. 3 1/26. 3 3/77. 3/108. 6 5/89. 3 7/11
10. 1 12/1311. 2 11/1212. 1 17/2013. 2 13/1814. 8 5/1215. 10 3/416. 7 13/1517. 8 5/618. 7 27/40
Page 151. 3/82. 2/213. 9/40
4. 6/355. 1/66. 1/67. 2/78. 2/99. 1/4
10. 3/411. 1/412. 1/613. 3/2014. 35/7215. 1/816. 1/1017. 1/518. 2/919. 3/520. 1/221. 1/522. 2/2723. 3/724. 15/15425. 11/1626. 1/827. 4/3928. 2/729. 11/3030. 4/4731. 17/61132. 7/5,600
Page 161. 1 1/42. 2 2/33. 1 1/64. 3 3/55. 1 5/76. 3/107. 6 1/88. 2 2/59. 8/9
10. 1 1/811. 3 1/312. 3 1/313. 5 1/314. 4 2/315. 2 2/516. 7/1617. 2 1/218. 1 1/3519. 1 7/1820. 5/621. 822. 2 4/3323. 2 2/3
24. 5 3/525. 926. 3 1/827. 9 5/728. 4/21
Page 191. 11/142. 1 13/183. 14/194. 82/875. 18/296. 1 1/47. 2/38. 59. 3/4
10. 3/411. 2 1/612. 3/713. 5/1214. 8/915. 1 5/2716. 3/1017. 3 1/918. 6 1/419. 9 3/420. 1/421. 25/13322. 5/6423. 2 31/3224. 33 3/425. 18/17526. 1/3227. 15028. 7 1/229. 4 2/2730. 10
Page 201. 5/62. 4/93. 15/164. 2 4/75. 2/56. 47. 1/28. 19. 4
10. 2 1/311. 2/912. 4/1513. 414. 1/1215. 7/1616. 6 2/3
17. 2/1518. 619. 1020. 1821. 10 1/222. 9 1/323. 1224. 13 1/225. 10 2/326. 727. 4 4/528. 3 1/329. 7 1/230. 7/2031. 4 2/332. 933. 1 5/634. 1 1/435. 1
Page 241. nine tenths2. three hundred six
thousandths3. forty-two
thousandths4. six and three
hundredths5. eighty and seven
tenths6. two hundred
thirty-four and sixhundred twelvethousandths
7. sixty-eight andthirty-five tenthousandths
8. one thousand twohundred thirty-four tenthousandths
9. one and twohundred thirty-four thousandths
10. twelve and thirty-four hundredths
11. .4312. 40.0313. .01714. 86.615. .050816. 5.0417. 12.140; 12.404;
12.444; 12,40018. 0.96; 0.9666;
10.96; 109.619. 0.055; 0.5; 0.505;
0.55
.501–2 50%
7
Practice 4Candy Is Dandy is a special candy store with trays of Lickem Lollipops, Nutty Buddies, Chocolate Pand P’s, Jelly Smellies, Luscious Licorice, Geodesic Gumballs, Chocolate-Covered Peanuts, and SlurpySuckers. Use your knowledge of fractions to help Candy Is Dandy serve its customers.
Fractions/Mixed Operations
1. Your mother bought 1/3 of a pound of Jelly Smellies and 1/4 of a pound of GeodesicGumballs. How many pounds of candy did she buy? _________________
2. The school principal bought 3/4 of a pound of Nutty Buddies and the second grade teacherbought 2/3 of a pound of Nutty Buddies. How many pounds of Nutty Buddies did theybuy in all? _________________
3. Your best friend bought 7/8 of a pound of Slurpy Suckers. The school quarterback bought3/4 of a pound of Slurpy Suckers. How much more did your friend buy?_________________
4. The soccer coach bought 11/12 of a pound of Chocolate-Covered Peanuts. The basketballcoach bought 5/6 of a pound of the same candy. How much more did the soccer coachbuy? _________________
5. Candy is Dandy is selling Chocolate P and P’s in baggies which hold 1/3 of a pound.Robert bought 15 bags of P and P’s. How many pounds of candy did he buy?_________________
6. Chris bought 3/4 of a foot of Luscious Licorice. James only bought 1/3 as much licoriceas Chris. How much licorice did James buy? _________________
7. Christine bought 9/10 of a pound of P and P’s and 4/5 of a pound of Chocolate-CoveredPeanuts. How much candy did she buy altogether? _________________
8. Sarah bought 1/8 of a foot of Luscious Licorice and Angela bought 7/12 of a foot oflicorice. How much less did Sarah buy? _________________
9. Anthony bought 3/4 of a pound of P and P’s which he split evenly into cups holding 1/8 ofa pound. How many cups did he have? _________________
10. Michael bought 1/2 pound of Nutty Buddies, 4/5 of a pound of Geodesic Gumballs, and1/3 of a pound of Slurpy Suckers. How many pounds of candy did he buy altogether?_________________
8
Practice 5A sixth grade science teacher uses many materials which need to be carefully measured and combined.Help compute these fractional measurements for sixth grade science.
Fractions/Mixed Operations
1. The teacher needs to distribute 1/2 ounce of vinegar to each of 30 students. How much vinegarwill the teacher need? _________________
2. In a class of 33 students, every student will need 3/4 of an ounce of plain rubbing alcohol. Howmuch alcohol will the teacher need for the entire class? _________________
3. Each student will need 1/8 ounce of pepper and 2/5 ounce of salt for a science activity. What isthe total weight given to each student? _________________
4. The teacher needs to distribute 1/2 ounce of iron filings to each student from a 12 1–2ounce jar.
How many students can receive iron filings? _________________
5. The teacher has 11 2–3minutes left in his classroom period. Each student needs 5/6 of a minute
to make a brief presentation. How many students can present in the allotted time?_________________
6. Each student received 2/3 of an ounce of flour and 3/4 of an ounce of baking soda. How muchmore baking soda did each student receive? _________________
7. Each student received 9/10 of an ounce of glue and 4/5 of an ounce of water. How much fluiddid each individual student receive? _________________
8. In one class 4/5 of an ounce of water was distributed to each of 34 students. How much waterwas used for the entire class? _________________
9. Each student in a class of 25 was given 3/8 of an ounce of lemon juice to use for invisiblewriting. How much lemon juice did the teacher use? _________________
10. Each magnet distributed to a class of 28 students weighed 5/16 of an pound. How much did all28 magnets weigh? _________________
11. Each student received 3/4 ounces water, 2/3 ounces glue, and 1/12 ounces of food coloring.What was the total fluid amount given to each student? _________________
12. The teacher divided 24 1–2ounces of liquid bluing in cups holding 7/8 ounces How many cups
would the teacher need? _________________
47
Page 41. 279 marbles2. 146 marbles3. 188 marbles4. 55 marbles5. 1,316 marbles6. 37 marbles7. 96 marbles8. 222 marbles9. 245 marbles10. 468 marbles11. 71 marbles
12 marbles12. 444 marbles
Page 51. addition19,056 bases
2. subtraction1,689 at bats
3. addition2,129 home runs
4. division177 hits
5. multiplication3,928,500 tickets
6. subtraction1,578 strike outs
7. division2,800 groups
8. subtraction329 walks
9. division175 hits (174 R13)
10. division.600 or 60%
Page 61. subtraction37,036 people
2. subtraction14,443 people
3. addition132,118 fans
4. addition35,292 fans
5. division860 packages
6. division2,000 packages
7. subtraction28,538 fans
8. division8,250 packages
9. multiplication601,536 fans
10. multiplication3,649,050 tickets
Page 71. 7/12 lb.2. 1 5/12 lb.3. 1/8 lb.4. 1/12 lb.5. 5 lb.6. 1/4 feet7. 1 7/10 lb.8. 11/24 feet9. 6 cups10. 1 19/30 lb.
Page 81. 15 ounces2. 24 3/4 ounces3. 21/40 ounces4. 25 students5. 14 students6. 1/12 ounces7. 1 7/10 ounces8. 27 1/5 ounces9. 9 3/8 ounces10. 8 3/4 lb.11. 1 1/2 ounces12. 28 cups
Page 91. 10 3/8 inches2. 32 3/4 inches3. 7/8 inches4. 51 5/8 inches5. 83 7/8 inches6. 3 1/4 lb.7. 20 1/4 lb.8. 24 1/6 inches9. 14 1/8 ounces10. 20 3/8 inches
Page 101. 76 inches2. 52 1/5 inches3. 10 prints4. 8 prints5. 150 inches6. 355 inches7. 23 1/3 inches8. 7 prints9. 451 inches10. 8 prints
Page 111. 2 1/4 feet2. 9 5/6 feet3. 17 3/4 feet4. 3 1/8 feet5. 2 1/3 feet6. 6 2/5 times7. 12 lengths8. 6 1/12 feet9. 5 1/2 feet10. 14 7/12 feet
Page 121. $5.042. $0.563. $63.684. $43.455. $5.516. $5.047. $29.258. $0.969. $10.1310. $20.1511. $18.3512. $17.10
Page 131. 7.9 centimeters2. 87.6 centimeters3. 30.25 centimeters4. 220.89 centimeters5. 204.26 centimeters6. 347.863 centimeters7. 24.99 centimeters8. 1.201 centimeters9. 56.899 centimeters10. 59.663 centimeters11. 26.989 centimeters12. 181.91 centimeters
Page 141. 0.21 lb.2. 100.2 ounces3. 1.09 ounces4. 10.2 candies5. 45.1 lb.6. 80.5 ants7. 969.624 ounces8. $0.239. $0.3810. 157.68 lb.
Page 151. 75% 6. 80%2. 72% 7. 64%3. 75% 8. 67%4. 60% 9. 70%5. 75% 10. 82%
Page 161. $34.002. $4.003. $1.324. $9.525. $7.006. $2.487. $22.808. $4.009. $18.00$42.00
10. $5.24$29.71
Page 171. 467.476 mi.2. 2,246.8 mi.3. 32.422 feet4. 94.14 mi.5. 15.23 mi.6. 44.636 mi.7. 177.813 m.p.h.8. 3,030.957 lb.9. 91.05 mi.10. 880.431 mi.
Page 181. 60 m.p.h.2. 50 m.p.h.3. 30 m.p.h.4. 60 m.p.h.5. 50 m.p.h.6. 55 m.p.h.7. 52 m.p.h.8. 40 m.p.h.9. 40 m.p.h.10. 80 m.p.h.
Page 191. 3,200 feet2. 40 min.3. 10,000 feet4. 7,128 feet5. 396 min.6. 7,740 feet7. 24,000 feet8. 503 min.9. 410 min.10. 30,400 feet
Page 201. $12. $13. $114. 75. $216. 27. -$68. -249. 1710. -7211. -3212. $226
Page 211. -$122. -$203. +424. -$75. -96. +107. $2708. +1569. 64
10. +511. -$512. +20
Page 221. polar bear2. leopard/cameldog/cat
3. 2 yr.4. pig5. 9 yr.6. 15 yr..7. 1 yr.8. 9 yr.9. 55 yr.10. 70 yr.
Page 231. 30%2. 5th/8th3. 60%4. no5. 45%6. 40%
Page 241. 19602. 1990–20003. 19604. 1950–19605. 1990–20006. 1970–19807. 1960–19708. the same9. 10/1110. 12/1311. 1612. 7/8/913. taller14. 14
Page 251. 12 Frequency2. 1 Cat 83. 4 Dog 124. 2 Snake 25. 2 Bird 36. 12 Mouse 37. 18 Hamster 48. 1 Fish 69. 4 Other 310. dog11. snake12. 513. 4114. 27
Page 261. 10 m.p.h.2. the scale starts at 20rather than 0
Answer Key
