Nokea
Express 0.025 as a ratio.
- A. 1:40
- B. 4:1
- C. 400:1
- D. 26:40:00
Correct Answer: A
Rationale: To convert 0.025 to a ratio, you first convert the decimal to a fraction by writing it as 25/1000, which simplifies to 1/40. Therefore, the correct ratio for 0.025 is 1:40. When expressing decimals as ratios, it's important to remember to simplify the fraction to its simplest form. In this case, 1:40 is the simplest form of the ratio for 0.025, making it the correct answer choice.
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Express 0.608 as a percent.
- A. 6.08%
- B. 0.61%
- C. 608%
- D. 60.80%
Correct Answer: D
Rationale: To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
Multiply: 39/54 x 6/13, reduced to lowest terms =
- A. 3\7
- B. 2\9
- C. 1\3
- D. 13\27
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators together and the denominators together.
(39/54) x (6/13) = (39 x 6) / (54 x 13) = 234 / 702.
Reduce the fraction to lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 234.
234 ÷ 234 = 1 and 702 ÷ 234 = 3.
So, the final answer is 1/3 (Choice C).
Choices A, B, and D are incorrect because they do not simplify to 1/3. Option A simplifies to 3/7, Option B to 2/9, and Option D to 13/27.
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 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.
What is the result of the subtraction 28.19 - 9?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To subtract 9 from 28.19, first subtract the whole numbers: 28 - 9 = 19. Then, subtract the decimals: 0.19 - 0 = 0.19. Combining the whole numbers and decimal parts gives you 19.19 as the correct result. Therefore, the subtraction of 9 from 28.19 equals 19.19, which corresponds to option D.