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What is the result of subtracting 2 5/8 from 7/8, reduced to lowest terms?
- A. 1 3/4
- B. 1 6/8
- C. 1 1/4
- D. 1 5/8
Correct Answer: A
Rationale: To subtract mixed numbers, convert them to improper fractions. 2 5/8 as an improper fraction is 21/8. Subtracting 7/8 from 21/8 results in 14/8. Simplifying 14/8 to lowest terms gives 1 3/4, which is the final answer.
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Ratio and Proportion: 0.3:2 = 15:X (Enter numeric value only.)
- A. 50
- B. 75
- C. 100
- D. 125
Correct Answer: C
Rationale: To find the value of X, first, we need to set up a proportion using the given equation: 0.3/2 = 15/X. Cross multiply to solve for X: 0.3X = 2 * 15. Simplify to get 0.3X = 30. Divide by 0.3 to solve for X: X = 30 / 0.3 = 100. Therefore, the correct answer is C. Choice A (50), B (75), and D (125) are incorrect as they do not satisfy the proportion equation given. A summary of the incorrect choices: A is too low, B is also too low, and D is too high compared to the correct answer of 100.
Round to the nearest whole number. Change the fraction to a percent: 2/9
- A. 20%
- B. 21%
- C. 23%
- D. 22%
Correct Answer: D
Rationale: To convert a fraction to a percent, divide the numerator by the denominator, then multiply by 100. For 2/9, 2 · 9 = 0.2222... Multiplying by 100 gives 22%. When rounding to the nearest whole number, 0.2222... is closer to 22% than to 21% or 23%, making the correct answer D.
A patient receives a 15% discount for a visit to the healthcare provider. The total charge for the medical services today is $532.00. How much will the patient pay in full today?
- A. $452.20
- B. $79.80
- C. $80.80
- D. $475.97
Correct Answer: A
Rationale: Correct Answer: A ($452.20)
Rationale: To calculate the amount the patient will pay after a 15% discount, you first find 15% of $532.00, which is $79.80. Then, subtract this discount from the total charge: $532.00 - $79.80 = $452.20. Therefore, the patient will pay $452.20 in full today.
Summary:
- Choice B ($79.80) is the amount of the 15% discount, not the total payment.
- Choice C ($80.80) is close to the discount amount but does not consider the subtraction.
- Choice D ($475.97) is incorrect as it does not reflect the correct calculation after the discount.
1.2:x::14:42 =
- A. 0.6
- B. 3.6
- C. 1.2
- D. 2.4
Correct Answer: B
Rationale: To solve this proportion, we use the property that the product of the means is equal to the product of the extremes. In this case, we have 1.2 * 42 = 14 * x. Simplifying, we get 50.4 = 14x. To find the value of x, we divide both sides by 14, giving x = 50.4 / 14 = 3.6. Therefore, the correct answer is 3.6, which corresponds to option B. This means that the relationship between 1.2 and x is the same as the relationship between 14 and 42, following a proportional logic where the ratios are equivalent.
What is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.