# Test Bank for Dimensional Analysis: Calculating Dosages Safely, 2nd Edition

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Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
Fractions
CHAPTER 2
1. When working with fractions, what is the term for the greatest common number that
divides evenly into both the numerator and the denominator?
1. Divisor
2. Factor
3. Dividend
4. Product
2. When adding fractions with different denominators, the fractions must be changed to have
a common denominator. What is the term for this change?
1. Transforming
2. Averaging
3. Lowering
4. Raising
3. Reducing a fraction to the lowest terms involves which of the following?
1. Finding a factor that divides evenly into both the numerator and denominator
2. Finding a common denominator for the fractions and adding the numerators
3. Finding a common denominator for the fractions and subtracting the smaller fraction
from the larger one
4. Multiplying the numerators and denominators of the fractions
4. Which statements are true when discussing improper fractions? Select all that apply.
1. Numerators are greater than or equal to their denominators.
2. Improper fractions contain both a whole number and a fraction.
3. The value of an improper fraction is greater than or equal to one.
4. Numerators are less than their denominators.
5. Improper fractions contain a numerator and denominator that are both divisible by the
number two.
5. Which of the following operations require finding a common denominator before
completing the equation? Select all that apply.
1. Adding fractions
2. Subtracting fractions
3. Multiplying fractions
4. Dividing fractions
5. Reducing reactions
Fractions-1
Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
6. Which of the following is true regarding mixed fractions?
1. The numerator is always greater than the denominator.
2. The value is always less than one.
3. It contains both a whole number and a fraction.
4. It contains a decimal point.
7. A fraction represents parts of a whole and is written with a numerator on top and a
___________________ on bottom.
Calculate the following. If applicable, show your answer as a mixed fraction.
3
8. 2 + = ________
4
9.
5
9
10. 3
3
+ = ________
9
3
8
1
+ = ________
4
4
3
5
5
9
1
3
9
7
3
2
14
11. โ
= ________
12. โ = _______
13. ร
14. 3
4
5
= _______
1
ร = _______
3
1
1
4
8
7
2
8
3
15. รท = ________
16. รท
= ________
Fractions-2
Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
ANSWERS
Fractions
CHAPTER 2
1. When working with fractions, what is the term for the greatest common number that
divides evenly into both the numerator and the denominator?
1. Divisor
2. Factor
3. Dividend
4. Product
ANS: 2
Rationale: The greatest common number, or factor, is one that divides evenly into both the
numerator and the denominator.
2. When adding fractions with different denominators, the fractions must be changed to have
a common denominator. What is the term for this change?
1. Transforming
2. Averaging
3. Lowering
4. Raising
ANS: 4
Rationale: Adding fractions with different denominators involve โraisingโ fractions to higher
terms to have a common denominator.
3. Reducing a fraction to the lowest terms involves which of the following?
1. Finding a factor that divides evenly into both the numerator and denominator
2. Finding a common denominator for the fractions and adding the numerators
3. Finding a common denominator for the fractions and subtracting the smaller fraction
from the larger one
4. Multiplying the numerators and denominators of the fractions
ANS: 1
Rationale: Reducing a fraction to the lowest terms involves finding a factor that divides
evenly into both the numerator and denominator. (2) refers to adding fractions, (3) refers to
subtracting fractions, and (4) refers to multiplying fractions.
Fractions-3
Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
4. Which statements are true when discussing improper fractions? Select all that apply.
1. Numerators are greater than or equal to their denominators.
2. Improper fractions contain both a whole number and a fraction.
3. The value of an improper fraction is greater than or equal to one.
4. Numerators are less than their denominators.
5. Improper fractions contain a numerator and denominator that are both divisible by the
number two.
ANS: 1, 3
Rationale: Improper fractions have numerators that are greater than or equal to their
denominators. The value of an improper fraction is equal to or greater than one. Mixed
fractions contain both a whole number and a fraction. Proper fractions have numerators
that are less than their denominators. Divisibility by two does not affect whether a fraction
is proper or improper.
5. Which of the following operations requires finding a common denominator before
completing the equation? Select all that apply.
1. Adding fractions
2. Subtracting fractions
3. Multiplying fractions
4. Dividing fractions
5. Reducing reactions
ANS: 1, 2
Rationale: Adding fractions requires finding a common denominator for the fractions,
adding the numerators, and then reducing the result to the lowest terms. Subtracting
fractions requires finding a common denominator for the fractions, subtracting the smaller
fraction from the larger one, and then reducing the result to the lowest terms. The other
options do not require finding a common denominator.
6. Which of the following is true regarding mixed fractions?
1. The numerator is always greater than the denominator.
2. The value is always less than one.
3. It contains both a whole number and a fraction.
4. It contains a decimal point.
ANS: 3
Rationale: Mixed fractions contain both whole numbers and fractions. (1) refers to
improper fractions, (2) refers to proper fractions, and (4) is incorrect.
Fractions-4
Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
7. A fraction represents parts of a whole and is written with a numerator on top and a
___________________ on bottom.
ANS: denominator
Rationale: A fraction represents parts of a whole and is written with a numerator on top
and a denominator on bottom.
3
8. 2 + = ________
4
?
ANS: 2 ?
Rationale: Convert 2 into a fraction with a common denominator by multiplying 2 ร 4 = 8.
Then add the numerators:
3
8
4
3
11
4
4
+ =
. To represent this as a mixed number, divide 11 รท 4
= 2, with 3 left over, or 2 4 .
9.
5
9
3
+ = ________
9
?
ANS:
?
Rationale: Add the numerators:
10. 3
3
8
5
9
+
3
9
8
= .
9
1
+ = ________
4
?
ANS: 3 ?
Rationale: First, convert the mixed number into an improper fraction:
27
8
. Then find a
2
common denominator for the second number: 8. So, the second number is converted to .
Add the numerators:
27
8
5
+
2
8
=
8
29
8
. To represent this as a mixed number, divide 29 รท 8 = 3
with 5 left over, or 3 8.
4
3
5
5
11. โ
= ________
ANS:
?
?
4
3
1
5
5
5
Rationale: Subtract the numerators: โ = .
Fractions-5
Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
9
1
3
9
12. โ = _______
?
ANS: 2
?
Rationale: Find common denominator (9), make the conversion (3 ร 9 = 27), and then
subtract the fractions:
27
9
8
1
26
9
9
โ =
. To represent this as a mixed fraction, divide 26 รท 9 =
2, with 8 left over, or 2 9 .
7
3
2
14
13. ร
ANS:
= _______
?
?
Rationale: Multiply the numerators and denominators:
14. 3
4
5
7ร3
2 ร 14
=
21
3
28
4
. Reduce to .
1
ร = _______
3
?
ANS: 1 ??
4
Rationale: Convert 3 5 to an improper fraction
denominators:
19 ร 1
4
5ร3
=
19
15
19
5
. Multiply the numerators and the
. To represent this as a mixed number, divide 19 รท 15 = 1, with 4
left over, or 1 15.
1
1
4
8
15. รท = ________
ANS: 2
Rationale: First, find the reciprocal of the second fraction by flipping the numerator and
8
denominator: . Then multiply the numerators and denominators of the first fraction and
1
the reciprocal of the second fraction:
7
2
8
3
16. รท
1ร8
4ร1
8
= . Reduce the resulting fraction to 2.
4
= ________
?
ANS: ? ??
Fractions-6
Dimensional Analysis: Calculating Dosages Safely, 2 nd Edition
Tracy Horntvedt
ยฉ 2019 F. A. Davis Company
Rationale: First, find the reciprocal of the second fraction by flipping the numerator and
3
denominator: . Then multiply the numerators and denominators of the first fraction and
2
the reciprocal of the second fraction:
7ร3
8ร2
5
=
21
16
. To represent this as a mixed fraction,
divide 21 รท 16 = 1, with 5 left over, or 1 16.
Fractions-7

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