Brown & Mulholland: Drug Calculations: Ratio and Proportion Problems for Clinical Practice
ESSAY
Directions: Solve the following problems.
7 1
1. Add and reduce to lowest terms: +
8 8
ANS:
7 1 8
+ = =1
8 8 8
1 1
2. Add: +
3 8
ANS:
1 1 8 3 11
+ = + =
3 8 24 24 24
2 1
3. Multiply and reduce to lowest terms: ×
3 8
ANS:
2 1 2 1
× = =
3 8 24 12
1 1
4. Multiply and reduce to lowest terms: ×
4 10
ANS:
1 1 1
× =
4 10 40
1 3
5. Divide and reduce to lowest terms: ÷
4 8
ANS:
1 3 1 8 8 2
÷ = × = =
4 8 4 3 12 3
1 1
6. Divide and reduce to lowest terms: ÷
2 6
ANS:
1 1 1 6
÷ = × =3
2 6 2 1
1 1
7. Which is greater, or ?
7 9
ANS:
1
7
1 1
8. Which is smaller, or ?
6 8
ANS:
, 12. Which is greater, 0.25 or 0.05?
ANS:
0.25
13. Round to the nearest tenth: 3.124
ANS:
3.1
14. Round to the nearest hundredth: 0.42877
ANS:
0.43
15. Round to the nearest whole number: 5.742
ANS:
6
16. Round to the nearest ten thousandth: 0.576391
ANS:
0.5764
17. Divide 7.35 by 0.25.
ANS:
29.4
18. Multiply 4.25 by 0.2.
ANS:
0.85
19. Find 5% of 75.
ANS:
0.05 × 75 = 3.75 ÊÁË 10% of 75 is 7.5; 5% would be one half of that ˆ˜¯
20. Find 55% of 120.
ANS:
0.55 × 120 = 66 (a little more than one half of 120)
1
21. Write as a percentage and as a decimal.
10
ANS:
10%, 0.1
22. Write 0.05 as a fraction and as a percentage.
ANS:
5 1
(reduce to ), 5%
100 20
23. Write 85% as a fraction and as a decimal.
ANS:
85 17
(reduce to ), 0.85
100 20