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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.
You may also like to solve these questions
What is 3 percent of 60?
- A. 0.18
- B. 1.8
- C. 18
- D. 0.018
Correct Answer: B
Rationale: To find 3% of 60, you multiply 60 by 3% (or 0.03).
So, 60 x 0.03 = 1.8.
Therefore, the correct answer is B: 1.8.
Choice A (0.18) is incorrect as it represents 0.3% of 60. Choice C (18) is incorrect as it represents 30% of 60. Choice D (0.018) is incorrect as it represents 0.03% of 60.
What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
If a label states that 1 mil contains 500 mg, how many mils are there if there are 1.5 grams?
- A. 2
- B. 5
- C. 9
- D. 3
Correct Answer: D
Rationale: To convert grams to mils using the given conversion rate of 1 mil = 500 mg, you need to first convert grams to milligrams. Since 1 gram = 1000 milligrams, 1.5 grams would be 1500 milligrams. To find out how many mils this corresponds to, you divide the total milligrams by the milligrams per mil: 1500 mg · 500 mg/mil = 3 mils. Therefore, the correct answer is 3.
A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?
- A. 50
- B. 51
- C. 53
- D. 54
Correct Answer: C
Rationale: To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students · 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.
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.