HESI A2 Study Guide: Comprehensive Prep for Your Nursing Exam

Correct Answer: B

Rationale: To add 5 1/4 and 7 1/3, first convert both fractions to have the same denominator. LCM of 4 and 3 is 12. So, 5 1/4 becomes 5 3/12 and 7 1/3 becomes 7 4/12. Adding these gives 12 7/12, which is choice B. This is correct because when you add fractions, you add the numerators while keeping the denominators the same. Choice A (11 2/7) is incorrect as it doesn't account for the proper conversion and addition of fractions with a common denominator. Choice C (11 5/12) is incorrect as the addition was not done accurately. Choice D (12 1/2) is incorrect as it doesn't consider the fractions separately before adding.

Correct Answer: A

Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.

Correct Answer: C

Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.

Correct Answer: C

Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.

Correct Answer: C

Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.