Nokea
Express 0.26 as a fraction =
- A. 7/8
- B. 13/50
- C. 26/100
- D. 2 6/10
Correct Answer: B
Rationale: To convert a decimal to a fraction, the decimal number is written without the decimal point and over the appropriate place value. In this case, 0.26 can be written as 26/100. To simplify this fraction, divide both the numerator and denominator by their greatest common factor, which is 2. This simplifies to 13/50. Therefore, the correct answer is 13/50.
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Add: 5 1/3 + 3 1/2 =
- A. 8 2/6
- B. 9 1/4
- C. 8 2/5
- D. 8 5/6
Correct Answer: D
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 5 1/3 is equal to 16/3, and 3 1/2 is equal to 7/2. Next, find a common denominator, which in this case is 6. Convert 16/3 to 32/6 and 7/2 to 21/6. Add these fractions together: 32/6 + 21/6 = 53/6. Finally, simplify 53/6 to the mixed number 8 5/6. Therefore, the correct answer is D) 8 5/6.
Compare the relationships of these numbers. ¼ is-------- than 2/24
- A. less than
- B. equal to
- C. greater than
Correct Answer: C
Rationale: To compare ¼ and 2/24, convert both fractions to have a common denominator. LCD is 24. ¼ = 6/24 and 2/24 = 2/24. 6/24 is greater than 2/24 since 6 is larger than 2. Therefore, the correct answer is C (greater than). Choice A (less than) and B (equal to) are incorrect as ¼ is larger than 2/24 when compared using the same denominator. Choice D is incomplete and doesn't provide any comparison.
How many liters are in 300 milliliters?
- A. 0.3 liters
- B. 3 liters
- C. 0.03 liters
- D. 3.30 liters
Correct Answer: A
Rationale: To convert milliliters to liters, divide by 1000 because 1 liter is equal to 1000 milliliters. Therefore, 300 milliliters is equal to 0.3 liters (300 · 1000 = 0.3). The correct answer is 0.3 liters, as 300 milliliters is a fraction of a liter, not a whole liter.
Convert 4/5 to a decimal.
- A. 0.08
- B. 0.375
- C. 1.25
- D. 0.8
Correct Answer: D
Rationale: To convert 4/5 to a decimal, you divide the numerator (4) by the denominator (5): 4 ÷ 5 = 0.8. Therefore, the correct answer is D. Choice A (0.08) is incorrect as it represents 8/100, not 4/5. Choice B (0.375) is incorrect as it is the decimal form of 3/8, not 4/5. Choice C (1.25) is incorrect as it is the decimal form of 5/4, not 4/5.
What is the result of subtracting 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.