Nursing Elites

1. Reduce 5 & 3/4 divided by 1/2.

• A. 5 & 1/2
• B. 2 & 3/8
• C. 18
• D. 11 & 1/2

Correct answer: D

Rationale: To divide mixed numbers, convert them to improper fractions. 5 & 3/4 = 23/4 and 1/2 = 2/1. So, 23/4 ÷ 2/1 = 23/4 * 1/2 = 23/8 = 2 & 7/8. Therefore, 5 & 3/4 divided by 1/2 reduces to 11 & 1/2. Choices A, B, and C are incorrect because they do not represent the correct result of dividing 5 & 3/4 by 1/2.

2. What is the result of adding 6 3/4 + 8 1/6?

• A. 14 11/12
• B. 12 3/4
• C. 12 3/24
• D. 14 2/5

Correct answer: A

Rationale: To add mixed numbers, convert them to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, add the fractions to get 27/4 + 49/6 = 162/24 + 98/24 = 260/24 = 21 20/24 = 21 10/12 = 21 5/6 = 14 11/12. Therefore, the correct answer is 14 11/12. Choice B (12 3/4) is incorrect as it does not match the correct calculation. Choice C (12 3/24) is incorrect due to the erroneous denominator in the final fraction. Choice D (14 2/5) is incorrect as it does not correspond to the correct sum of the fractions.

3. Add and simplify: 4⅔ + 6½ =

• A. 11â…™
• B. 10â…“
• C. 9â…™
• D. 9

Correct answer: C

Rationale: To add 4⅔ and 6½, we first need to convert the fractions to have the same denominator. Converting 4⅔ to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9⅙. Therefore, the correct answer is 9⅙. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.

4. What is the solution to the equation 4y - 6 = 14? Solve for y.

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: B

Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.

5. Subtract 2 5\8 - 7\8 and reduce.

• A. 1 & 5\8
• B. 1 & 1\4
• C. 1 & 6\8
• D. 1 & 3\4

Correct answer: A

Rationale: Subtract the fractions first: 2 5\8 - 7\8 = 1 & 5\8.

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