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What is 80% of 55?
- A. 45
- B. 44
- C. 40
- D. 39
Correct Answer: B
Rationale: To calculate 80% of a number, you multiply the number by 0.80 or 80/100. In this case, to find 80% of 55, you would do 55 * 0.80, which equals 44. Therefore, the correct answer is 44, corresponding to option B. When finding a percentage of a number, remember that you are essentially finding a fraction of that number based on the percentage given. In this case, 80% is the same as 80/100 or 0.80 as a decimal. Multiplying this by 55 gives you the result of 44. Therefore, option B is the correct answer.
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What is the result of adding 2/3 and 4/9?
- A. 1 (1/9)
- B. 1 (1/3)
- C. 2/9
- D. 10/9
Correct Answer: A
Rationale: To add 2/3 and 4/9, you need to find a common denominator. In this case, the common denominator is 9. Convert 2/3 to 6/9. Now, the addition becomes 6/9 + 4/9 = 10/9. Simplifying 10/9 gives you 1 (1/9). Therefore, the correct answer is 1 (1/9). When adding fractions, having a common denominator is essential for accurate calculation.
Rounded to the nearest whole number, what is 17 out of 68 as a percentage?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. In this case, (17 · 68) — 100 = 25%. Therefore, when rounded to the nearest whole number, 17 out of 68 as a percentage is 25%.
Round your answer to the hundredths place: 28 — 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To solve the multiplication problem 28 — 0.6, you multiply 28 by 0.6, which equals 16.8. When rounding to the hundredths place, the third decimal place is 8, which is equal to or greater than 5. Therefore, you round up the second decimal place, resulting in 16.8 rounding up to 16.80 or 16.8. Hence, the correct answer is 46.67, not 16.8.
Which fraction represents the largest value?
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct Answer: B
Rationale: To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.
What is 5 & 3/4 divided by 1/2 when reduced?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.