CALCULATE WITH
CONFIDENCE 8TH
EDITION, LATEST UPDATE
BY DEBORAH C. MORRIS.
ALL CHAPTERS
COMPLETE 1-24
,UNIT ONE: MATH REVIEW
Pre-Test: Math Review Pre-Test
COMPLETION QUESTIONS
Question 1
Reduce the following fraction to lowest terms.
54/81 = _____
Answer: 2/3
Difficulty: Easy | Learning Objective: 1.1 | QSEN: Safety
Rationale: To reduce 54/81 to lowest terms, divide both numerator and denominator by
their greatest common divisor (GCD), which is 27. 54 ÷ 27 = 2, and 81 ÷ 27 = 3.
Therefore, 54/81 = 2/3. Reducing fractions to lowest terms is essential for accurate
dosage calculations, as it simplifies subsequent mathematical operations and reduces
the risk of calculation errors .
Question 2
,Reduce the following fraction to lowest terms.
105/135 = _____
Answer: 7/9
Difficulty: Easy | Learning Objective: 1.1 | QSEN: Safety
Rationale: The GCD of 105 and 135 is 15. 105 ÷ 15 = 7, and 135 ÷ 15 = 9. Therefore,
105/135 = 7/9. Always verify that the resulting fraction cannot be reduced further; 7 and
9 share no common factors other than 1. This skill is fundamental when working with
medication dosages that are expressed as fractions .
Question 3
Reduce the following fraction to lowest terms.
39/65 = _____
Answer: 3/5
Difficulty: Easy | Learning Objective: 1.1 | QSEN: Safety
Rationale: The GCD of 39 and 65 is 13. 39 ÷ 13 = 3, and 65 ÷ 13 = 5. Therefore, 39/65 =
3/5. Reducing fractions is particularly important when calculating pediatric dosages
where precise measurements are critical for patient safety .
Question 4
Change the following improper fraction to a whole or mixed number.
325/16 = _____
Answer: 20 5/16
Difficulty: Easy | Learning Objective: 1.2 | QSEN: Safety
Rationale: To convert an improper fraction to a mixed number, divide the numerator by
the denominator. 325 ÷ 16 = 20 with a remainder of 5. Therefore, 325/16 = 20 5/16. The
whole number is the quotient (20), and the remainder (5) becomes the numerator over
, the original denominator (16). This conversion is necessary when dealing with
medication amounts that result in mixed numbers .
Question 5
Change the following improper fraction to a whole or mixed number.
1,500/100 = _____
Answer: 15
Difficulty: Easy | Learning Objective: 1.2 | QSEN: Safety
Rationale: 1,500 ÷ 100 = 15 exactly, with no remainder. Therefore, 1,500/100 = 15, a
whole number. When the numerator is a multiple of the denominator, the result is a
whole number. This occurs frequently in dosage calculations when the prescribed dose
is a multiple of the available dose .
Question 6
Change the following improper fraction to a whole or mixed number.
193/62 = _____
Answer: 3 7/62
Difficulty: Medium | Learning Objective: 1.2 | QSEN: Safety
Rationale: Divide 193 by 62: 62 × 3 = 186, with a remainder of 7. Therefore, 193/62 = 3
7/62. The fraction 7/62 is already in lowest terms because 7 and 62 share no common
factors. This type of calculation may be encountered when determining how many doses
can be obtained from a medication supply .
Question 7