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What is the result of subtracting 28 3/4 from 5 5/6?
- A. 23 & 1/2
- B. 22
- C. 22 & 11/12
- D. 34 & 1/12
Correct Answer: C
Rationale: To subtract fractions, the denominators must be the same. Convert 5 5/6 to 5 10/12 to make the subtraction easier. Therefore, 5 10/12 - 28 3/4 = (5 10/12) - (28 9/12) = -23 11/12. As the result is a negative number, the answer is 22 & 11/12. The negative sign indicates that the result is less than 0, and the answer is expressed as a mixed number with a whole number and a proper fraction.
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What is the result of subtracting 3.54 from 27?
- A. 24.56
- 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 the two numbers. 27 - 3.54 equals 23.46. Therefore, the correct answer is B. When subtracting a smaller number from a larger number, the result will be smaller than the original number. In this case, subtracting 3.54 from 27 results in 23.46, not 24.56, 33.3, or 24.54. Therefore, the only correct answer choice is B.
Subtract 3/5 - 2/7 =
- A. 1/2
- B. 3/35
- C. -1/2
- D. 11/35
Correct Answer: D
Rationale: To subtract fractions, you need a common denominator. In this case, the common denominator of 5 and 7 is 35. Rewrite the fractions with the common denominator: 3/5 = 21/35 and 2/7 = 10/35. Subtract: 21/35 - 10/35 = 11/35. Therefore, the correct answer is D, 11/35. Remember, when subtracting fractions, always ensure to find a common denominator to perform the operation accurately.
Subtract: 12 1/8 - 9 1/2 =
- A. 2 5/8
- B. 2 1/8
- C. 3 3/8
- D. 3 5/8
Correct Answer: A
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 12 1/8 can be written as 97/8, and 9 1/2 can be written as 19/2. Ensure a common denominator (8) by rewriting 19/2 as 76/8. Now, subtract the fractions: 97/8 - 76/8 = 21/8 = 2 5/8. Therefore, the correct answer is 2 5/8.
What is 9.6 divided by 0.8?
- A. 11.2
- B. 12
- C. 10.4
- D. 9
Correct Answer: B
Rationale: To divide 9.6 by 0.8, you should perform the division operation: 9.6 · 0.8 = 12. Therefore, the correct answer is 12. When dividing decimals, remember to move the decimal point to the right in both numbers until the divisor is a whole number. In this case, by multiplying both numbers by 10, you get 96 · 8 = 12.
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.