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Subtract 5/6 - 3/4.
- A. 1/2
- B. 1/12
- C. 2/24
- D. 1
Correct Answer: B
Rationale: To subtract fractions, you need a common denominator. The common denominator between 6 and 4 is 12. Convert both fractions to have a denominator of 12. 5/6 becomes 10/12 and 3/4 becomes 9/12. Subtracting 10/12 - 9/12 results in 1/12. Therefore, the correct answer is 1/12.
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Convert the military time 0056 to 12-hour time.
- A. 12:56 P.M.
- B. 12:56 A.M.
- C. 1:56 A.M.
- D. 1:56 P.M.
Correct Answer: B
Rationale: Military time 0056 represents 12:56 A.M. in the 12-hour clock format. When converting from military time to the 12-hour clock, you keep the hour as is if it's 1 to 12. In this case, 0056 corresponds to just after midnight, so it's 12:56 A.M. The 'A.M.' indicator signifies the time is in the morning.
Convert 7 3/8 to a decimal.
- A. 7.38
- B. 7.375
- C. 7.357
- D. 7.35
Correct Answer: B
Rationale: To convert 7 3/8 to a decimal, first convert the mixed number to an improper fraction: 7 * 8 + 3 = 59/8. Next, divide the numerator by the denominator: 59 ÷ 8 = 7.375. Therefore, the correct answer is B: 7.375.
Explanation:
A: 7.38 - Incorrect, as the fraction 3/8 is equal to 0.375, not 0.38.
C: 7.357 - Incorrect, as this is not the correct decimal equivalent of 7 3/8.
D: 7.35 - Incorrect, as this does not accurately represent the value of 7 3/8.
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.
Subtract: 9/12 - 3/12
- A. 1/3
- B. 1/2
- C. 1/4
- D. 1/6
Correct Answer: B
Rationale: To subtract fractions with the same denominator, subtract the numerators. In this case, 9/12 - 3/12 = (9-3)/12 = 6/12. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 6. Thus, 6/12 simplifies to 1/2.
Ratio and Proportion: 9 : X :: 5 : 300
- A. 540
- B. 600
- C. 450
- D. 500
Correct Answer: A
Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.