convert the fraction 78 into a decimal and percent
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HESI A2

HESI A2 Math Practice Exam

1. Convert the fraction 7/8 into a decimal and percent.

Correct answer: A

Rationale: To convert the fraction 7/8 into a decimal, you divide 7 by 8, which equals 0.875. To express this decimal as a percentage, you multiply it by 100 to get 87.5%. Choices B, C, and D are incorrect because they do not represent the correct conversion of the fraction 7/8 into a decimal and a percent.

2. A patient needs to take 2 tablets for every 30 pounds of body weight. If they weigh 150 pounds, how many tablets should they take?

Correct answer: B

Rationale: Rationale: - The patient needs to take 2 tablets for every 30 pounds of body weight. - If the patient weighs 150 pounds, we can calculate the number of tablets needed by dividing the weight by 30 and then multiplying by 2. - 150 pounds / 30 pounds = 5 - 5 x 2 = 10 tablets - Therefore, the patient should take 10 tablets.

3. How many grams are in 8 kilograms?

Correct answer: D

Rationale: To convert kilograms to grams, you multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 8 kilograms = 8 x 1,000 = 8,000 grams. The correct answer is 8,000 grams, which is option D. Choices A and C are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides 8 by 10 instead of multiplying by 1,000.

4. What is 35% of 70?

Correct answer: B

Rationale: To find 35% of a number, you multiply the number by 0.35. In this case, 35% of 70 is calculated as 70 x 0.35 = 24.5. Choice A (17.5) is incorrect because it represents 25% of 70. Choice C (35) is incorrect as it is the percentage itself, not the result of the calculation. Choice D (50) is incorrect as it does not represent the result of finding 35% of 70.

5. What is the result of adding 12 1/21 and 3 1/3?

Correct answer: A

Rationale: To add 12 1/21 and 3 1/3, first add the whole numbers: 12 + 3 = 15. Then, add the fractions: 1/21 + 1/3. To find a common denominator, multiply 21 by 3 to get 63. Convert 1/21 to an equivalent fraction with a denominator of 63 by multiplying the numerator and denominator by 3, resulting in 3/63. Now add 3/63 (equivalent to 1/21) and 21/63 (equivalent to 1/3) to get 24/63. Simplifying 24/63 gives 8/21. Therefore, the sum is 15 8/21. Choices B, C, and D are incorrect because they do not result from the correct addition of the given numbers and fractions.

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