Add: 5/8 + 1/2 =
- A. 9\8
- B. 7\8
- C. 11\8
- D. 3\4
Correct Answer: C
Rationale: To add fractions, we need a common denominator. In this case, the common denominator for 8 and 2 is 8. So, 5/8 + 1/2 becomes 5/8 + 4/8 = 9/8. Therefore, the correct answer is C: 11/8. Choice A is incorrect because it does not account for the common denominator. Choice B is incorrect as it adds the numerators incorrectly. Choice D is incorrect as it simplifies the fractions incorrectly.
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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.
What is 7/8 + 9/10 + 6/5 as a mixed number?
- A. 3 22/23
- B. 3 39/40
- C. 22/23
- D. 2 39/40
Correct Answer: A
Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.
Multiply: 2/3 x 3/5 =
- A. 3/4
- B. 1/3
- C. 2/5
- D. 11/9
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators and the denominators: (2 x 3) / (3 x 5) = 6/15. Simplifying gives 2/5. Thus, the correct answer is C) 2/5.
What temperature in Celsius is 98.6 degrees Fahrenheit?
- A. 30 Celsius
- B. 37 Celsius
- C. 47 Celsius
- D. 21 Celsius
Correct Answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: C = (F - 32) x 5/9. Substituting 98.6 for F: (98.6 - 32) x 5/9 = 37°C. Therefore, 98.6 degrees Fahrenheit is equivalent to 37 degrees Celsius.
What time is 5:00 am in military time (24-hour clock)? (Enter numeric value only.)
- A. 5000
- B. 500
- C. 1500
- D. 1700
Correct Answer: B
Rationale: The correct answer is B: 500. In military time, 5:00 am is represented as 0500. This is because the 24-hour clock system uses four digits, with the first two indicating the hour and the last two indicating the minutes. Choice A (5000) is incorrect as it has an extra digit. Choice C (1500) represents 3:00 pm, while choice D (1700) represents 5:00 pm. Therefore, the correct representation of 5:00 am in military time is 0500.
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