Health Education Systems Inc (HESI) A2 Exam Quiz: Converting Fractions Decimals And Percents

9 questions · exam conditions

0:00

Converting Fractions Decimals And PercentsQuestion 1 of 9

A patient's weight decreased from 180 pounds to 171 pounds over one month. If this decrease represents $\frac{1}{20}$ of the original weight, what percentage weight loss does this represent?

5.3%

5.0%

9.0%

4.7%

← Back to quizzes

Health Education Systems Inc (HESI) A2 Exam Quiz

Health Education Systems Inc (HESI) A2 Exam Quiz: Converting Fractions Decimals And Percents

Practice Converting Fractions Decimals And Percents in Health Education Systems Inc (HESI) A2 Exam with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Converting Fractions Decimals And Percents, giving you a quick way to practice the rules, question types, and explanations that matter most for Health Education Systems Inc (HESI) A2 Exam.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A patient's weight decreased from 180 pounds to 171 pounds over one month. If this decrease represents $\frac{1}{20}$ of the original weight, what percentage weight loss does this represent?

5.3%
5.0% (correct answer)
9.0%
4.7%

Explanation: Weight loss percentage problems test your ability to convert fractions to percentages and understand what "percentage of original weight" means. When you see a fraction like

\frac{1}{20}

representing weight loss, you're being given a direct path to the percentage. To find the percentage, convert the fraction to a decimal by dividing:

\frac{1}{20} = 1 ÷ 20 = 0.05

. Then multiply by 100 to get the percentage:

0.05 × 100 = 5.0\%

. You can verify this makes sense:

\frac{1}{20}

of 180 pounds is

180 ÷ 20 = 9

pounds, and indeed the patient lost

180 - 171 = 9

pounds. Choice A (5.3%) might tempt you if you calculated

\frac{9}{171} × 100

, which would be the percentage relative to the new weight rather than the original weight. This is a common error—always use the original value as your denominator for percentage change calculations. Choice C (9.0%) represents the actual pounds lost rather than the percentage. This happens when students see "9 pounds lost" and mistakenly think that equals 9%. Choice D (4.7%) could result from calculation errors or rounding mistakes during the conversion process. Remember this pattern: when a problem gives you the fraction of change directly, convert that fraction to a percentage rather than recalculating from the raw numbers. Questions like

\frac{1}{20}

\frac{1}{10}

, or

\frac{1}{25}

often appear on the HESI because they test whether you recognize these common fraction-to-percentage conversions.

Question 2

A medication dosage calculation shows that a patient should receive 0.875 mg of a drug. The available tablets contain $\frac{7}{8}$ mg each. How many tablets should the patient receive?

0.778 tablets
0.875 tablets
1.125 tablets
1 tablet (correct answer)

Explanation: Medication dosage calculations require you to determine how many units of available medication equal the prescribed dose. This type of problem tests your ability to work with fractions and decimals in healthcare contexts. To solve this, you need to divide the prescribed dose by the strength of each available tablet:

\frac{0.875 \text{ mg}}{\frac{7}{8} \text{ mg per tablet}}

. First, convert the fraction to decimal form:

\frac{7}{8} = 0.875

mg. Now the calculation becomes:

\frac{0.875}{0.875} = 1

tablet exactly. Choice A (0.778 tablets) represents a calculation error, likely from incorrectly converting

\frac{7}{8}

or setting up the division backwards. Choice B (0.875 tablets) occurs when students mistakenly think the decimal dose directly equals the number of tablets needed, ignoring the tablet strength entirely. Choice C (1.125 tablets) suggests multiplying instead of dividing, or using an incorrect conversion of the fraction. The correct answer is D (1 tablet) because the prescribed dose of 0.875 mg exactly matches the strength of each available tablet. When approaching HESI dosage calculations, always convert fractions to decimals first to avoid confusion, then set up your equation as: Number of tablets = Prescribed dose ÷ Tablet strength. Double-check that your answer makes practical sense—receiving exactly one tablet when the prescribed dose matches the tablet strength is logical and safe for patient care.

Question 3

A patient's fluid intake over 8 hours was recorded as 0.625 liters in the first 4 hours and $\frac{3}{8}$ liters in the second 4 hours. What fraction of a liter represents the total fluid intake for the 8-hour period?

$\frac{8}{8}$ liter (correct answer)
$\frac{33}{32}$ liters
$\frac{7}{8}$ liter
$\frac{9}{8}$ liters

Explanation: First convert 0.625 to a fraction: 0.625 =

\frac{625}{1000} = \frac{5}{8}

. Then add the two amounts:

\frac{5}{8} + \frac{3}{8} = \frac{8}{8}

= 1 liter. Choice B incorrectly adds numerators and denominators separately. Choice C represents only the second 4-hour period. Choice D incorrectly calculates the sum.

Question 4

A nurse is preparing a medication dosage that requires converting $\frac{7}{16}$ of the original strength to a percentage for documentation purposes. However, the pharmacy system only accepts percentages rounded to the nearest 0.1%. What percentage should the nurse enter?

43.8% (correct answer)
44.0%
43.7%
43.9%

Explanation: To convert

\frac{7}{16}

to a percentage: First convert to decimal by dividing 7 ÷ 16 = 0.4375. Then multiply by 100 to get 43.75%. Rounded to the nearest 0.1%, this becomes 43.8%. Choice B rounds incorrectly to the nearest whole percent. Choice C truncates instead of rounding properly. Choice D uses incorrect rounding methodology.

Question 5

A health assessment shows that $\frac{5}{6}$ of students passed the vision screening. If 83.33% represents the same proportion expressed as a percentage, what is the difference between the exact decimal equivalent of $\frac{5}{6}$ and 0.833?

0.000300
0.0003
0.00033
0.000333... (correct answer)

Explanation: When you encounter questions involving fractions, percentages, and decimals on the HESI, you're being tested on your precision with mathematical conversions and your understanding of repeating decimals. To find the difference, you need the exact decimal equivalent of

\frac{5}{6}

. When you divide 5 by 6, you get 0.833333..., where the 3s repeat infinitely. This is a repeating decimal, written as

0.8\overline{3}

. Now subtract:

0.8\overline{3} - 0.833 = 0.000333...

The key insight is that 0.833 has exactly three decimal places, while

\frac{5}{6}

continues with infinitely repeating 3s. The difference captures those continuing 3s: 0.000333... Looking at the wrong answers: Choice A (0.000300) incorrectly assumes the repeating decimal ends and adds zeros. Choice B (0.0003) rounds the difference incorrectly, cutting off the repetition. Choice C (0.00033) shows only two repeating 3s instead of the infinite repetition. Only choice D (0.000333...) correctly represents the infinite repetition of 3s that continues beyond the third decimal place. The ellipsis (...) in choice D is crucial—it indicates the pattern continues forever, which is exactly what happens when you subtract a terminating decimal from a repeating decimal. Study tip: On the HESI, pay close attention to repeating decimals and how they're notated. The difference between 0.00033 and 0.000333... is significant in mathematical precision, and the exam tests whether you understand this distinction.

Question 6

A clinical study requires calculating the combined effect of two treatments. Treatment A shows 0.3125 effectiveness and Treatment B shows $\frac{5}{16}$ effectiveness. If these values represent the same level of effectiveness, what percentage does this effectiveness represent?

31.5%
30.25%
31.25% (correct answer)
32.25%

Explanation: This question tests your ability to convert between fractions and percentages while recognizing equivalent values. When you encounter problems involving different numerical formats, always convert everything to the same format before making comparisons or calculations. First, let's verify that the two treatments have the same effectiveness by converting both to decimal form. Treatment A shows 0.3125 effectiveness. For Treatment B, convert the fraction

\frac{5}{16}

by dividing:

5 \div 16 = 0.3125

. Since both equal 0.3125, they do indeed represent the same effectiveness level. To convert 0.3125 to a percentage, multiply by 100:

0.3125 \times 100 = 31.25\%

. Therefore, answer C) 31.25% is correct. Looking at the wrong answers: A) 31.5% likely results from misreading the decimal as 0.315 instead of 0.3125. B) 30.25% could come from incorrectly calculating the fraction division or misplacing decimal points during conversion. D) 32.25% might result from rounding errors or computational mistakes when converting the fraction. The key trap here is precision in decimal-to-percentage conversion. Many students rush through the multiplication step or make careless errors with decimal placement. Study tip: When converting fractions to percentages, always double-check your division and move the decimal point exactly two places to the right (or multiply by 100). Practice converting common fractions like sixteenths, since they appear frequently in healthcare calculations involving dosages and concentrations.

Question 7

A nutrition label shows that a serving contains 12.5% of the daily recommended fiber intake. A patient consumed $\frac{3}{5}$ of a serving. What fraction of the daily recommended fiber intake did the patient consume?

$\frac{3}{4}$
$\frac{1}{8}$
$\frac{3}{40}$ (correct answer)
$\frac{15}{2}$

Explanation: This problem tests your ability to work with percentages and fractions together, a common skill needed in healthcare calculations for dosages and nutritional assessments. To solve this, you need to find what fraction of the daily fiber intake the patient actually consumed. Start by converting the percentage to a fraction: 12.5% =

\frac{12.5}{100} = \frac{1}{8}

. This represents one full serving's fiber content. Since the patient consumed

\frac{3}{5}

of a serving, multiply the fiber content per serving by the fraction consumed:

\frac{1}{8} \times \frac{3}{5} = \frac{3}{40}

. This is answer choice C. Let's examine why the other options are incorrect. Choice A (

\frac{3}{4}

) represents 75% of daily fiber intake, which is far too high for consuming just part of one serving. Choice B (

\frac{1}{8}

) is the fiber content of a full serving, but ignores that the patient only ate

\frac{3}{5}

of it. Choice D (

\frac{15}{2}

) equals 7.5, which would mean 750% of daily fiber intake from a partial serving—clearly impossible. When working with nutrition calculations on the HESI, always break the problem into steps: first convert percentages to fractions, then apply any additional operations like multiplication for partial servings. Double-check that your final answer makes logical sense—consuming part of one serving should give you a small fraction of daily requirements, not an impossibly large amount.

Question 8

A nurse practitioner notes that 66⅔% of patients in a study showed improvement. If this percentage is expressed as a fraction in lowest terms, and then that fraction is converted back to a decimal, what decimal value is obtained?

0.667
0.666... (correct answer)
0.6667
0.665

Explanation: 66⅔% = 66⅔/100 = (200/3)/100 = 200/300 = 2/3 in lowest terms. Converting 2/3 back to decimal: 2 ÷ 3 = 0.666... (repeating). Choice A rounds to three decimal places incorrectly. Choice C shows a terminating decimal which is incorrect. Choice D represents a rounding error.

Question 9

A laboratory technician needs to prepare a solution that is 37.5% concentration. The current solution is $\frac{2}{5}$ concentration. By what decimal amount must the concentration be decreased?

0.025 (correct answer)
0.375
0.400
0.0025

Explanation: Convert

\frac{2}{5}

to decimal:

\frac{2}{5}

= 0.4 = 40%. Convert 37.5% to decimal: 37.5% = 0.375. The decrease needed is 0.4 - 0.375 = 0.025. Choice B gives the target concentration, not the decrease. Choice C gives the current concentration. Choice D represents a decimal place error.