change the fraction to the simplest possible ratio 46

HESI A2

Practice HESI A2 Math Test

1. Convert the fraction to the simplest possible ratio: 4/6

A. 2:3
B. 4:7
C. 4:6
D. 3:5

Correct answer: A

Rationale: To simplify the fraction 4/6, you can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 4 by 2 gives 2, and dividing 6 by 2 gives 3. Therefore, the simplest ratio of 4/6 is 2:3. Choice B (4:7) is incorrect because it does not result from simplifying the fraction. Choice C (4:6) is incorrect as it represents the original fraction, not the simplest form. Choice D (3:5) is incorrect as it does not match the simplified ratio of 4/6.

2. You have orders to administer 20 mg of a certain medication to a patient. The medication is stored at a concentration of 4 mg per 5-mL dose. How many milliliters will need to be administered?

A. 30 mL
B. 25 mL
C. 20 mL
D. 15 mL

Correct answer: B

Rationale: To administer 20 mg of the medication, you would need 25 mL. This calculation is derived from the concentration of 4 mg per 5 mL. By setting up a proportion, you can determine that for 20 mg, 25 mL must be administered as follows: (20 mg / 4 mg) = (x mL / 5 mL). Solving for x results in x = 25 mL. Choice A is incorrect because it miscalculates the proportion. Choices C and D are incorrect as they do not account for the correct concentration of the medication.

3. A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?

A. 97.5 miles
B. 100 miles
C. 95 miles
D. 105 miles

Correct answer: A

Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

4. Change the following percentage to a decimal: 58%

A. 0.58
B. 5
C. 0
D. 0

Correct answer: A

Rationale: To convert a percentage to a decimal, move the decimal point two places to the left. Therefore, 58% as a decimal is 0.58. Choice B, 5, is incorrect as it does not represent the conversion of a percentage to a decimal. Choices C and D, both 0, are also incorrect as they do not reflect the correct conversion of 58% to a decimal.

5. If a recipe requires 3 eggs for every pound of cake, how many pounds of cake can be made with 40 eggs?

A. 12 pounds
B. 14 pounds
C. 13 pounds
D. 15 pounds

Correct answer: C

Rationale: To determine the pounds of cake that can be made with 40 eggs, divide the total number of eggs by the eggs needed per pound of cake: 40 eggs ÷ 3 eggs/pound = 13 pounds of cake. Therefore, the correct answer is 13 pounds. Choice A, 12 pounds, is incorrect because it does not consider the ratio of eggs to cake. Choice B, 14 pounds, and Choice D, 15 pounds, are incorrect as they do not reflect the correct calculation based on the given ratio in the question.