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, Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
Chapter 1: Fractions and Decimals
REVIEW SET 1-1
1. 𝟔 𝟕
,
𝟔 𝟓
2. 𝟏 𝟏
,
𝟒 𝟏𝟒
3. 𝟏 𝟐𝟗 , 𝟏 𝟏𝟒 , 𝟓 𝟕𝟖
4. 𝟑
𝟒
= 𝟔𝟖 , 𝟏
𝟓
𝟐 𝟑 𝟏
= 𝟏𝟎 ,𝟗 = 𝟑
5. 6 12 = 𝟏𝟑
𝟐
6×2 +1
2
= 13
2
6. 2 34 = 11
4
2× 4 + 3
4
= 11
4
7. 10 23 = 𝟑𝟐
𝟑
10 × 3 + 2
3
= 32
3
8. 7 56 = 𝟒𝟕
𝟔
7×6 +5
6
= 47
6
3
9. 𝟑𝟑
𝟏𝟏
=𝟑
1
1
10. 𝟖
𝟖
=𝟏
1
11. 30
9
= 3 39 = 𝟑 𝟏𝟑 3
9 30
27
3
12. 100
75
= 1 25
75
= 𝟏 𝟏𝟑 1
75 100
75
25
13. 34 × 22 = 𝟔𝟖
14. 14 × 44 = 𝟏𝟔
𝟒
15. 25 × 22 = 𝟏𝟎
𝟒
16. 23 × 33 = 𝟔𝟗
Copyright © 2022 by Cengage Learning Canada, Inc. 1-1
,Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
17. 𝟏
𝟏𝟎𝟎
𝟏
𝐢𝐬 𝐥𝐚𝐫𝐠𝐞𝐫 𝐭𝐡𝐚𝐧 𝟏𝟓𝟎.
The numerators are the same. The fraction with the smaller denominator has the greater value.
18. 𝟏
𝟏𝟎 𝟎𝟎𝟎
𝟏
𝐢𝐬 𝐬𝐦𝐚𝐥𝐥𝐞𝐫 𝐭𝐡𝐚𝐧 𝟏𝟎𝟎𝟎.
The numerators are the same. The fraction with the larger denominator has the lesser value.
19. 𝟓
𝟗
𝐢𝐬 𝐥𝐚𝐫𝐠𝐞𝐫 𝐭𝐡𝐚𝐧 𝟐𝟗.
The denominators are the same. The fraction with the larger numerator has the greater value.
20. 𝟑
𝟏𝟎
𝐢𝐬 𝟓
𝐬𝐦𝐚𝐥𝐥𝐞𝐫 𝐭𝐡𝐚𝐧 𝟏𝟎 .
The denominators are the same. The fraction with the smaller numerator has the lesser value.
21. 300 mL – 180 mL = 120 mL remaining
4 2
120 4
300
= 10 = 𝟐𝟓 𝐨𝐟 𝐭𝐡𝐞 𝐟𝐥𝐮𝐢𝐝 𝐢𝐧 𝐭𝐡𝐞 𝐛𝐨𝐭𝐭𝐥𝐞 𝐫𝐞𝐦𝐚𝐢𝐧𝐬.
10 5
22. 600 mL on Day 2; 900 mL on Day 3; 1350 mL on Day 4
Day 1: 200 mL twice daily = 200 × 2 = 400 mL daily
Day 2: 400 mL daily from Day 1 + (increase by 12 × 400 mL) = 400 + 400
2
= 400 + 200 = 600 mL
Day 3: 600 mL daily from Day 2 + (increase by 12 × 600 mL) = 600 + 600
2
= 600 + 300 = 900 mL
Day 4: 900 mL daily from Day 3 + (increase by 12 × 900 mL) = 900 + 900
2
= 900 + 450 = 1350 mL
23. 𝟏
𝟐𝟎
of the class are men 57
+3
60 people in class
3 𝟏
The men represent 3 out of 60 or 60 or 𝟐𝟎 of the class.
24. 36
40
𝟗
= 𝟏𝟎 of the questions were answered correctly.
25. 𝟏
𝟒
1 6 6
×
4 6
= 24
1 4 4
×
6 4
= 24
1 3 3
×
8 3
= 24
6 𝟏
Therefore, 24 or 𝟒
𝐢𝐬 𝐭𝐡𝐞 𝐥𝐚𝐫𝐠𝐞𝐬𝐭 𝐟𝐫𝐚𝐜𝐭𝐢𝐨𝐧.
Also, since the numerators are the same, the denominator that is smallest would be the larger
fraction.
1-2 Copyright © 2022 by Cengage Learning Canada, Inc.
, Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
REVIEW SET 1-2
1. 6 34 = 6 15
20
+ 35 = 12
20
6 27
20
𝟕
= 𝟕 𝟐𝟎
2. 3
=9
4 12
+ 23 = 12
8
17 𝟓
12
= 𝟏 𝟏𝟐
3. 4 23 = 4 16
24
1 1
524 = 5 24
+ 7 12 = 7 12
24
1629
24
𝟓
= 𝟏𝟕 𝟐𝟒
4. 3
4
= 18
24
1 3
8
= 24
+ 16 = 24
4
25 𝟏
24
= 𝟏 𝟐𝟒
5. 12 12 = 12 36
+ 20 13 = 20 26
32𝟓𝟔
6. 1
7
= 3
21
2 14
3
= 21
+ 11
21
= 11
21
28 7
21
= 1 21 = 𝟏 𝟏𝟑
7. 4
9
= 32
72
5 45
8
= 72
+ 4 23 = 4 48
72
4 125
72
= 𝟓 𝟓𝟑
𝟕𝟐
Copyright © 2022 by Cengage Learning Canada, Inc. 1-3
,Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
8. 34 12
+ 8 12
42 22 = 𝟒𝟑
9. 12
17
= 11984
+ 5 27 = 5 119
34
𝟓 𝟏𝟏𝟖
𝟏𝟏𝟗
10. 6
5
= 18
15
1 5
+ 13 = 1 15
1 23
15
𝟖
= 𝟐 𝟏𝟓
11. 3
4
1
−4
2 𝟏
=
4 𝟐
12. 8 12
1
= 7 13
12
−3 14 = 3 12
3
4 10
12
= 𝟒 𝟓𝟔
13. 1
=3
8 24
1 2
− 12 = 24
𝟏
𝟐𝟒
14. 100 = 99 33
− 36 13 = 36 13
𝟔𝟑 𝟐𝟑
15. 2
3
= 4
6
− 12 = 3
6
𝟏
𝟔
16. 2 35
− 1 15
1-4 Copyright © 2022 by Cengage Learning Canada, Inc.
, Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
𝟏 𝟐𝟓
Copyright © 2022 by Cengage Learning Canada, Inc. 1-5
,Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
17. 14 16
3 3
= 14 16
− 7 18 = 7 16
2
𝟏
𝟕 𝟏𝟔
18. 25 = 24 99
− 17 79 = 17 79
𝟕 𝟐𝟗
7
19. 4 10 = 4 14
20
9 9
− 3 20 = 3 20
5
1 20 = 𝟏 𝟏𝟒
20. 27 − 17 12 = 26 22 − 17 12 = 𝟗 𝟏𝟐 𝐥𝐢𝐭𝐫𝐞𝐬
21. 𝟏
𝟏𝟐
1 12
×
1 12
= 12 ; 2×4 = 8 ;
12 3 4 12
1 3
×
4 3
3
= 12
8
+3
12 12
= 11
12
12 11
− = 1
12 12 12
22. 1𝟏𝟐 tablets daily 1
2
× 3 = 32 = 112 tablets daily
23. 4𝟏𝟏
𝟏𝟐
cups of fluid 112 + 1 + 23 + 134 = 1 12
6
+1+
8
12
9
+ 1 12
23 11
= 3 12 = 4 12 cups of fluid
24. 2𝟏𝟏
𝟏𝟐
km left to walk 1 14 = 1 12
3
1 13 = 1 12
4
1 12 = 1 12
6
+ 1 = 1
4 13
12
1
= 5 12
1
8 − 5 12 = 7 12
12
1
− 5 12 = 2 11
12
km left to walk
25. 62 𝟏𝟔 apples eaten 24 12 = 24 36
+ 37 23 = 37 46
61 76 = 62 16 apples eaten
1-6 Copyright © 2022 by Cengage Learning Canada, Inc.
, Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
REVIEW SET 1-3
1
1. 𝟑
×𝟏
𝟏𝟎 𝟏𝟐
𝟏
= 𝟒𝟎
4
2. 12
25
× 35 = 𝟏𝟐𝟓
𝟑𝟔
3. 5
8
× 1 16 = 58 × 76 = 𝟑𝟓
𝟒𝟖
4. 1
100
×3 𝟑
= 𝟏𝟎𝟎
1
5. 6
1
× 32 = 1 1
÷
6 4
× 3 2
÷
1 3
= 1 4
×
6 1
× 3 3
×
1 2
4 3
2 1 3
𝟒 𝟗 𝟐
= ×
𝟔 𝟐
= ×𝟗
𝟑 𝟐
=3
3 1 1
𝟏
6. 𝟏𝟓𝟎
𝟏
× 𝟐 𝟏𝟐 = 𝟏
÷ 𝟏
𝟏𝟓𝟎 𝟏𝟎𝟎
× 𝟐 𝟏𝟐
𝟏𝟎𝟎
2
𝟏
= 𝟏𝟓𝟎 × 𝟏𝟎𝟎
𝟏
× 𝟓𝟐
3
1
= 𝟏𝟑 × 𝟐𝟏 × 𝟓𝟐
1
= 53 = 𝟏 𝟐𝟑
7. 30
75
×2 = 60 =𝟒
75 𝟓
8. 9 45 × 23 = 49
5
× 23 = 98
15
𝟖
= 𝟔 𝟏𝟓
1 1
9. 3 2
×
4 3
= 𝟏𝟐
2 1
10. 2 13 × 4 12
2
= 73 × 50
36
= 350
36
= 9 26
36
= 𝟗 𝟏𝟑
𝟏𝟖
11. 34 × 18 = 𝟑𝟐
𝟑
1
12. 34 ÷ 14 = 34 × 41 = 𝟑
1
1
13. 6 12
1
÷ 3 14 = 73
12
÷ 13
4
= 73 × 4 = 73 = 𝟏 𝟑𝟒
12 13 39 𝟑𝟗
3
Copyright © 2022 by Cengage Learning Canada, Inc. 1-7
, Instructor’s Solutions Manual to Accompany Dosage Calculations, Fifth Canadian Edition
14. 17 ÷ 10
8
= 17 × 10
8
= 𝟏𝟎 = 𝟓
𝟓𝟔 𝟐𝟖
1
15. 1
÷1
33 3
1
= 33 × 31 = 𝟏𝟏
𝟏
11
1 1
16. 5 14 ÷ 10 12 = 21
4
÷ 21
2
= 21
4
2
× 21 = 𝟏𝟐
2 1
1
17. 1
÷1
60 2
1
= 60 × 21 = 𝟑𝟎
𝟏
30
2
18. 2 12 ÷ 34 = 52 ÷ 34 = 52 × 43 = 10
3
= 𝟑 𝟏𝟑
1
1
19. 20
1
1
= 20 ÷ 13 = 20
1
× 31 = 𝟐𝟎
𝟑
3
1 2 2 5
3 4
20. 5
3
÷ 51 = 3 3
÷
5 4
÷ 4 10
5
÷9 = 3 4
×
5 3
÷ 4
×9
5 10
= 45 ÷ 18
25
= 45 × 25
18
= 10
9
= 𝟏 𝟏𝟗
1
4 9
1 5 1 9
21. 80 calories
1 apple
= x3calories
apple
4
20
x = 34 × 80
1
x = 60 calories
22. 60 sec
= x sec
1 min 91 min
3
20
x = 9 13 × 60 = 28
3
× 60 = 560
1
x = 560 seconds
23. 1 12 tablets = 1 dose
30 tablets = 301 = 30
1
÷ 32 = 30
1
× 23 = 60
3
= 20 doses
1
2
24. 1 12 tablets per dose × 3 doses per day = 1 12 × 3 = 32 × 3 = 92 = 4 12 tablets per day
4 12 tablets per day × 7 days = 4 12 × 7 = 92 × 7 = 63
2
= 𝟑𝟏 𝟏𝟐 𝐭𝐚𝐛𝐥𝐞𝐭𝐬
25. 1
3
full means the patient drank 2
3
pitcher; therefore calculate 2
3
of 1275 mL
2
3
× 1275
1
= 2550
3
= 850 mL
1-8 Copyright © 2022 by Cengage Learning Canada, Inc.