Nokea
Divide: 1 1/2 divided by 2 =
- A. 0.75
- B. 1
- C. 1.33
- D. 0.5
Correct Answer: A
Rationale: To divide 1 1/2 by 2, first convert 1 1/2 to an improper fraction: 3/2. Now, divide 3/2 by 2: 3/2 ÷ 2 = 3/2 x 1/2 = 3/4 = 0.75. Therefore, the correct answer is A (0.75). Choice B (1) is incorrect as the result is less than 1. Choice C (1.33) is incorrect as it is greater than 1. Choice D (0.5) is incorrect as it is the result of dividing 2 by 4, not 1 1/2 by 2.
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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.
Subtract: 9/10 - 2/5
- A. 1/2
- B. 3/10
- C. 4/10
- D. 1/4
Correct Answer: A
Rationale: To subtract fractions, you need a common denominator. In this case, convert 2/5 to an equivalent fraction with a denominator of 10, giving you 4/10. Now subtract: 9/10 - 4/10 = 5/10. Simplifying 5/10 to its lowest terms, you get 1/2. Therefore, the correct answer is 1/2, which represents the result of subtracting 2/5 from 9/10.
Express 0.004 as a ratio.
- A. 3:5
- B. 10:20
- C. 5:250
- D. 20:40
Correct Answer: C
Rationale: To convert 0.004 to a ratio, we first express it as a fraction, which is 4/1000. Simplifying this fraction by dividing the numerator and denominator by their greatest common factor, which is 4, we get 1/250. Therefore, the ratio of 0.004 is 1:250. Remember that to express a decimal as a ratio, you need to convert it to a fraction first, simplify the fraction, and then express it in the form of a ratio.
What is 7/8 + 9/10 + 6/5 as a mixed number?
- A. 3 22/23
- B. 3 39/40
- C. 22/23
- D. 2 39/40
Correct Answer: A
Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.
How many meters are in 3 kilometers? (Enter a numeric value only.)
- A. 300
- B. 3000
- C. 30
- D. 3
Correct Answer: B
Rationale: To convert kilometers to meters, remember that 1 kilometer is equivalent to 1,000 meters. Therefore, to determine how many meters are in 3 kilometers, you multiply 3 (kilometers) by 1,000 (meters), resulting in 3,000 meters. The correct answer is 3,000 meters, which corresponds to option B.