Nokea
Subtract 28 3/4 - 5 5/6.
- A. 23 & 1/2
- B. 22
- C. 22 & 11/12
- D. 34 & 1/12
Correct Answer: C
Rationale: To subtract mixed numbers, it is helpful to convert them into improper fractions. 28 3/4 is equivalent to 115/4, and 5 5/6 is equivalent to 35/6. Subtracting the fractions gives 115/4 - 35/6 = 345/12 - 70/12 = 275/12. Converting 275/12 back to a mixed number results in 22 & 11/12. Therefore, the correct answer is 22 & 11/12.
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What is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
Add: 5 1/4 + 7 1/3 =
- A. 11 2/7
- B. 12 7/12
- C. 11 5/12
- D. 12 1/2
Correct Answer: B
Rationale: To add 5 1/4 and 7 1/3, first convert both fractions to have the same denominator. LCM of 4 and 3 is 12. So, 5 1/4 becomes 5 3/12 and 7 1/3 becomes 7 4/12. Adding these gives 12 7/12, which is choice B. This is correct because when you add fractions, you add the numerators while keeping the denominators the same.
Choice A (11 2/7) is incorrect as it doesn't account for the proper conversion and addition of fractions with a common denominator. Choice C (11 5/12) is incorrect as the addition was not done accurately. Choice D (12 1/2) is incorrect as it doesn't consider the fractions separately before adding.
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.
What is the result of subtracting 32.21 by 4.68?
- A. 14.53
- B. 27.53
- C. 1.459
- D. 27.53
Correct Answer: B
Rationale: To subtract decimals, align the decimal points and subtract each place value. When subtracting 4.68 from 32.21, you get 27.53. Therefore, the correct answer is option B, 27.53.
What is the result of subtracting 3.54 from 27?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To find the result of subtracting 3.54 from 27, you need to subtract 3.54 from 27. The correct calculation is 27 - 3.54, which equals 23.46. Therefore, the correct answer is B, 23.46. When subtracting a smaller number from a larger number, the result will be smaller than the original number. In this case, 27 - 3.54 results in 23.46. It's essential to pay attention to the decimal places and perform the subtraction accurately to arrive at the correct answer.