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Round to the nearest whole number: What is 17 out of 68 as a percent?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator (17) by the denominator (68) to get approximately 0.25. Then, multiply this decimal by 100 to get the percentage. 0.25 * 100 = 25%. Since we are asked to round to the nearest whole number percentage, the answer is 25%. Therefore, the correct choice is B, 25%.
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Which is the largest expression?
- A. 0.195833
- B. 1:20
- C. 1:22
- D. 1:02
Correct Answer: A
Rationale: Correct Answer: A: 0.195833
Rationale: To compare the expressions, convert them to decimal form. A: 0.195833, B: 1.20, C: 1.22, D: 1.02. A is the largest as it is closest to 1. B is 1.20, C is 1.22, and D is 1.02. A is larger than D by 0.175833, which is the greatest difference among the options, making A the largest expression.
What is the result of the subtraction 27 - 3.54?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To subtract 3.54 from 27, align the decimal points and subtract as you would with whole numbers. 27 - 3.54 equals 23.46. Therefore, the correct answer is 23.46, corresponding to option B. Remember to be careful with decimal point placement and borrow if necessary when subtracting decimals.
Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.
Multiply: (99)(0.56) =
- A. 54.44
- B. 56.44
- C. 55.44
- D. 57.44
Correct Answer: A
Rationale: To multiply decimals, first ignore the decimal points and multiply the numbers as whole numbers. Then, count the total number of decimal places in both factors (2 in this case) and place the decimal point in the product so that it has the same total number of decimal places. Therefore, (99)(0.56) = 5544. After placing the decimal point, the answer is 54.44. Therefore, the correct answer is A: 54.44.
What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.