CALCULATIONS & CONVERSIONS Flashcards

1
Q

1/3 + 1/6 = ?

A

6 is a multiple of 3.
Multiply 1/3 x 2 to get common denominator.
1 x 2 = 2 3 x 2 = 6 1/3 x 2 = 2/6
Then add. 2/6 + 1/6 = 3/6

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2
Q

4/12 - 1/6 = ?

A

12 is a multiple of 6.
Multiply 1/6 x 2 to get common denominator 12.
1 x 2 = 2 6 x 2 = 12 1/6 x 2 = 2/12
Then subtract. 4/12 - 2/12 = 2/12

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3
Q

1/3 + 3/9 =

A

6/9

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4
Q

3/4 + 1/8 =

A

7/8

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5
Q

8/16 - 1/4 =

A

4/16

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6
Q

3/16 + 5/4

A

23/16

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7
Q

15/16 - 1/8 =

A

13/16

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8
Q

2/3 + 1/12 =

A

9/12

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9
Q

9/10 - 1/5 =

A

7/10

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10
Q

12/14 - 3/7 =

A

6/14

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11
Q

9/30 + 4/10 =

A

21/30

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12
Q

2/6 x 5/7 =

A

10/42

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13
Q

5/10 x 6/8 =

A

30/80

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14
Q

3/8 x 2/3 =

A

6/24

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15
Q

5/12 x 1/3 =

A

5/36

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16
Q

5/3 x 1/6 =

A

5/18

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17
Q

3/9 x 2/4 =

A

6/36

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18
Q

2/8 x 3/4 =

A

6/32

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19
Q

2/4 x 1/3 =

A

2/12

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20
Q

9/10 x 5/8 =

A

45/80

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21
Q

1/8 ÷ 5/6 =

A

6/40

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22
Q

9/10 ÷ 3/4 =

A

36/30

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23
Q

2/4 ÷ 3/7 =

A

14/12

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24
Q

3/5 ÷ 7/4 =

A

12/35

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25
Q

7/12 ÷ 1/9 =

A

63/12

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26
Q

6/3 ÷ 7/8 =

A

48/21

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27
Q

2/7 ÷ 3/8 =

A

16/21

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28
Q

9/12 ÷ 3/8 =

A

72/36

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29
Q

1/5 ÷ 2/7 =

A

7/10

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30
Q

Name the three main systems of measurement used in Pharmacy.

A

Metric, Apothecary, and Avoirdupois

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31
Q

Name the units used to describe Volume in the Avoirdupois System.

A

Teaspoon, tablespoon, ounce, pint, quart, gallon.

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32
Q

Name the units used to describe Weight in the Avoirdupois System.

A

Ounce and pound.

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33
Q

Name the units used to describe Volume in the Metric System.

A

Microliter, milliliter, liter

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34
Q

Name the units used to describe Weight in the Metric System.

A

Microgram, milligram, gram, kilogram.

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35
Q

Name the units used to describe Volume in the Apothecary System.

A

Minim, and fluidounce.

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36
Q

Name the units used to describe Weight in the Apothecary System.

A

Grain.

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37
Q

True or False

The Apothecary pound is equal to the Avoirdupois pound.

A

False.

The are not equal.

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38
Q
Name the meanings of the following prefixes: 
micro
milli
centi
deci
kilo
A
one millionth
one thousandth
one hundredth
one tenth
one thousand
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39
Q

Provide the appropriate metric conversion factors for the following:

1 mg = \_\_\_\_ mcg
\_\_\_ g = 1000 mg
1 kg = \_\_\_\_ g
\_\_\_ L = 1000 ml
300 mg = \_\_\_\_ g
1500 ml = \_\_\_\_ L
3 kg = \_\_\_\_ g
A
1 mg = 1000 mcg
1 g = 1000 mg
1 kg = 1000 g
1 L  = 1000 ml
300 mg = 0.3 g
1500 ml = 1.5 L
3 kg = 3000 g
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40
Q

Provide the appropriate avoirdupois conversion factors for the following:

\_\_ teaspoons (tsp) = 1 tablespoon (tbsp)
\_\_ tbsp = 1 ounce (oz)
\_\_ oz = 1 pint (pt)
\_\_ pt = 1 quart (qt)
\_\_ qt = 1 gallon (G)
\_\_ oz = 1 pound (lb)
A
3 teaspoons (tsp) = 1 tablespoon (tbsp)
2 tbsp = 1 ounce (oz)
16 oz = 1 pint (pt)
2 pt = 1 quart (qt)
4 qt = 1 gallon (G)
16 oz = 1 pound (lb)
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41
Q

Convert the following measurements:

1 tsp = \_\_\_\_\_ ml
1 tbsp = \_\_\_\_\_ ml
1 oz = \_\_\_\_\_ ml
1 pt  = \_\_\_\_\_ ml
1 G = \_\_\_\_\_ ml
A
1 tsp = 5 ml
1 tbsp = 15 ml
1 oz = 30 ml
1 pt  = 480 ml
1 G = 3840 ml
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42
Q

Convert the following measurements:

1 g = \_\_\_\_\_ gr
1 gr  = \_\_\_\_\_ mg
1 kg = \_\_\_\_\_ lb
1 lb = \_\_\_\_\_ g
1 oz = \_\_\_\_\_ g
A
1 g = 15.4 gr
1 gr  = 60 mg
1 kg = 2.2 lb
1 lb = 454 g
1 oz = 30 g
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43
Q

Convert the following measurements when performing compounds:

1 oz = \_\_\_\_\_ ml
1 pt  = \_\_\_\_\_ ml
1 G = \_\_\_\_\_ ml
1 gr = \_\_\_\_\_ mg
1 oz = \_\_\_\_\_ g
A
1 oz = 29.57 ml
1 pt  = 473 ml
1 G = 3784 ml
1 gr = 64.8 mg
1 oz = 28.35 g
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44
Q

What does mEq stand for?

A

Milliequivalent = one thousandths of an Eq

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45
Q

1 Eq = ?

A

molecular salt weight ÷ ion charge

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46
Q

How many ml are in 2.3 oz?

A

69 ml

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47
Q

How many g are in 1.3 kg?

A

1300 g
Conversion: kg -> g
kg x g/kg = g

48
Q

How many oz are in 2 kg?

A

70.4 oz
Conversion: kg -> lb, lb -> oz
kg x lb/kg x oz/lb = oz

49
Q

How many L are in 60 oz?

A

1.8 L
Conversion: oz -> ml, ml -> L
oz x ml/oz x L/ml = L

50
Q

How many mg are in 0.25 lb?

A

113,500 mg
Conversion: lb -> g, g -> mg
lb x g/lb x mg/g = mg

51
Q

How many tsp are in 2 oz?

A

12 tsp
Conversion: oz -> ml, ml -> tsp
oz x ml/oz x tsp/ml = tsp

52
Q

Calculate the dose for a patient of 110kg if the recommended dose is 40mg/kg qD.

A

110kg x 40mg/kg = 4,400mg dose qD

53
Q

Calculate dose and daily dose
Patient weight = 80kg
Dose = 25mg/kg q8°

A

80kg x 25mg/kg = 2,000mg dose q8°

2,000mg x q8° = 6,000mg per day

54
Q

Calculate daily dose.
Patient weight = 230lb
Dose = 45mg/kg TID

A

230lb x 1kg/2.2lb = 104.5kg

  1. 5kg x 45mg/kg = 4,702.5mg TID
  2. 5mg x TID = 14,107.5 mg per day
55
Q

Calculate per dose.
Patient weight = 77kg
Dose = 24mg/kg q6°

A

77kg x 24mg/kg = 1848 mg per dose

56
Q

Calculate daily dose.
Patient weight = 135lb
Dose = 35mg/kg BID

A

135lb x 1kg/2.2lb = 61.4kg
61.4kg x 35mg/kg = 2149mg BID
2149mg x BID = 4298mg per day

57
Q

Find tabs per day.
Patient weight = 198lbs.
Dose = 2mg/kg BID
tabs = 30mg

A

198lbs x 1kg/2.2lbs = 90kg
90kg x 2mg/kg = 180mg BID
180mg x BID = 360mg per day
360mg ÷ 30mg/tab = 12 tabs per day

58
Q

Find daily dose in tsp.
Patient weight = 59lb
Dose = 12mg/kg/d
Concentration = 80mg/5ml

A

59lb x 1kg/2.2lb = 26.8kg
26.8kg x 12mg/kg = 321.60mg/d
X/321.60mg = 5ml/80mg 80mgX = 1608mgml
X = 20.1ml 20.1ml x 1 tsp/5ml = 4.02 tsp
4.02 rounded down = 4 tsp daily dose

59
Q

Find tsp per dose and ml for 10 days
Patient weight = 120kg
Dose = 0.25mg/kg q6°
Concentration = 20mg/5ml

A

120kg x 0.25mg/kg = 30mg q6°
X/30mg = 5ml/20mg 20mgX = 150mgml X = 7.5ml
7.5ml x 1 tsp/5ml = 1.5 tsp per dose
7.5ml x q6° = 30ml/day x 10d = 300ml

60
Q

Name the 2 major rules for figuring a pediatric dose.

A

Young’s Rule and Clark’s Rule

61
Q

What is the difference between Young’s Rule and Clark’s Rule?

A

Young’s Rule uses age.

Clark’s Rule uses weight.

62
Q

Formula for Young’s Rule

A

(Age in yrs) / (Age in yrs + 12) x adult dose

63
Q

Formula for Clark’s Rule

A

(Weight in lbs / 150) x adult dose

64
Q

Find child’s dose using Young’s Rule and Clark’s Rule.

Child’s weight = 40lb
Child’s age = 5yrs
Adult dose = 250mg

A

Young’s Rule
(5) / (5+12) x 250mg = 73.5mg child’s dose

Clark’s Rule
(40lbs/150) x 250mg = 66.67mg child’s dose

65
Q

Find child’s dose using Young’s Rule and Clark’s Rule.

Child’s weight = 11.4kg
Child’s age = 2yrs
Adult dose = 125mg

A

Young’s Rule
(2) / (2+12) x 125mg = 17.9mg child’s dose

Clark’s Rule
11.4kg x 2.2lbs/kg = 25lbs
(25lbs/150) x 125mg = 20.8mg child’s dose

66
Q

Find child’s dose using Young’s Rule.
Child’s age = 2
Adult dose = 80mg

A

2 / (2+12) x 80mg = 11.4mg child’s dose

67
Q

Find child’s dose using Clark’s Rule.
Child’s weight = 48lbs
Adult dose = 400mg

A

(48lbs/150) x 400mg = 128mg child’s dose

68
Q

Define flow rate.

A

The speed at which an IV solution is delivered.

69
Q

Flow Rate formula

A

Volume ÷ Time = Flow Rate

70
Q

A patient receives 1 L of IV solution over a 3 hour period. What is the flow rate in ml/hr?

A

1000 ml / 3 hours = 333ml/hr

71
Q

A patient receives 1 L of IV solution over a 3 hour period. What is the flow rate in ml/min?

A

1000 ml / (3hr x 60 min/hr) = 1000 ml / 180 min

= 5.6 ml/min

72
Q

How many hours should 1 L of D5W last when run at a flow rate of 125 ml/hr?

A

1000 ml / 125 ml/hr = 8 hours

73
Q

Flow Rate formula solving for Time

A

Volume ÷ Rate = Time

74
Q

Flow Rate formula solving for Volume

A

Rate x Time = Volume

75
Q

How many ml would be needed to run an IV fluid at 60ml/hr for 12 hours?

A

60ml/hr x 12hr = 720 ml

76
Q

Calculate flow rate in ml/min for a 500ml IV given over 45 minutes.

A

500 ml / 45min = 11.1ml/min

77
Q

Calculate flow rate in ml/min for 1000ml of IV solution given over 2.5 hours.

A

2.5hr x 60min/hr = 150 min

1000ml / 150min = 6.67ml/min

78
Q

How many ml must an IV contain in order to run at a rate of 100ml/hr for 8.3hr?

A

100ml/hr x 8.3hr = 830ml

79
Q

How many L of IV fluid must be used to run an IV at 15ml/min for 8 hours?

A

8hr x 60min/hr = 480min
15ml/min x 480min = 7200ml
7200ml x 1L/1000ml = 7.2 L

80
Q

How many hours would it take for a 500ml bag of NS to run out if administered at 2ml/min?

A

500ml / 2ml/min = 250min

250min x 1hr/60min = 4.17 hours

81
Q

Name the 2 concepts central to delivering IV fluids.

A

Flow rate and dose per time.

82
Q

1 g = ____ gr

A

1 g = 15.4 gr

83
Q

1 pt = ____ ml

A

1 pt = 480 ml

84
Q

1 lb = ____ g

A

1 lb = 454 g

85
Q

1 oz = ____ ml

A

1 oz = 30 ml

86
Q

1 G = ____ ml

A

1 G = 3840 ml

87
Q

1 gr = ____ mg

A

1 gr = 60 mg

88
Q

1 kg = ____ lb

A

1 kg = 2.2 lb

89
Q

1 oz = ____ g

A

1 oz = 30 g

90
Q

1 oz = ____ g (for compounding)

A

1 oz = 28.35 g

91
Q

1 gr = ____ mg (for compounding)

A

1 gr = 64.8 mg

92
Q

1 pt = ____ ml (for compounding)

A

1 pt = 473 ml

93
Q

1 oz = ____ ml (for compounding)

A

1 oz = 29.57 ml

94
Q

1 G = ____ ml (for compounding)

A

1 G = 3784 ml

95
Q

How many qt in 1 G?

A

4 qt = 1 G

96
Q

How many oz in 1 pt?

A

16 oz = 1 pt

97
Q

How many tbsp in 1 oz?

A

2 tbsp = 1 oz

98
Q

How many pt in 1 qt?

A

2 pt = 1 qt

99
Q

How many oz in 1 lb?

A

16 oz = 1 lb

100
Q

How many tsp in 1 tbsp?

A

3 tsp = 1 tbsp

101
Q

To find Celsius from Fahrenheit:

A

(°F-32) x (5/9) = °C

102
Q

To find Fahrenheit from Celsius:

A

°C x (9/5) + 32 = °F

103
Q

5°C = __°F

A

41°F

104
Q

86°F = __°C

A

30°C

105
Q

40°C = __°F

A

104°F

106
Q

78°F = __°C

A

25.6°C

107
Q

88°F = __°C

A

31.1°C

108
Q

98°F = __°C

A

36.7°C

109
Q

39°F = __°C

A

3.9°C

110
Q

9°C = __°F

A

48.2°F

111
Q

25°C = __°F

A

77°F

112
Q

18°C = __°F

A

64.4°F

113
Q

65°F = __°C

A

18.3°C

114
Q

Monthly gross sales = $100,000
Inventory = $300,000
How many turns is this per month and year?

A

300,000 / 100,000 = 3 months to turn inventory

12 / 3 = 4 turns/year

115
Q

Gross monthly sales = $350,000
Inventory = $440,000
What are the turns per year?

A

440,000 / 350,000 = 1.26 months to turn inventory

12 / 1.26 = 9.5 turns/year

116
Q

Item cost = $12.00
Sold for = $15.50
Calculate gross profit percent.

A

15.50 - 12.00 = 3.50 markup $
(3.50 / 12.00) x 100 = GP
GP = 29.17%

117
Q

Item cost = $39.78
Sold for = $59.99
Calculate gross profit percent

A

59.99 - 39.78 = 20.21 markup $
(20.21 / 39.78) x 100 = GP
GP = 50.8%