Nokea
Subtract 5/6 - 3/4.
- A. 1/12
- B. 2/24
- C. 1/2
- D. 1/8
Correct Answer: A
Rationale: To subtract fractions, find a common denominator. The common denominator for 6 and 4 is 12. So, 5/6 = 10/12 and 3/4 = 9/12. Subtracting 10/12 - 9/12 gives us 1/12 as the result. Choice A, 1/12, is the correct answer because it represents the simplified result of subtracting the fractions with the common denominator. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result of 1/12 after finding the common denominator.
You may also like to solve these questions
How many ounces are in 3 5/8 quarts?
- A. 184 oz
- B. 132 oz
- C. 128 oz
- D. 320 oz
Correct Answer: A
Rationale: To convert quarts to ounces, we need to know that 1 quart is equal to 32 ounces. To find out how many ounces are in 3 5/8 quarts, we multiply 3 quarts by 32 (96) and add the equivalent of 5/8 of a quart, which is 16 ounces (32 * 5/8 = 16). Adding these together gives us a total of 112 ounces. Therefore, the correct answer is 184 ounces. Choice B (132 oz) is incorrect as it does not account for the additional 16 ounces from the 5/8 of a quart. Choice C (128 oz) is incorrect as it miscalculates the total number of ounces. Choice D (320 oz) is incorrect as it incorrectly multiplies 3.625 by 32, which is not the correct way to convert quarts to ounces.
Convert 2/5 to a decimal.
- A. 0.5
- B. 0.25
- C. 0.4
- D. 0.5
Correct Answer: C
Rationale: To convert 2/5 to a decimal, you divide the numerator (2) by the denominator (5): 2 · 5 = 0.4. Therefore, the correct decimal representation of 2/5 is 0.4. Choice A (0.5) is incorrect because it represents 1/2, not 2/5. Choice B (0.25) is incorrect as it represents 1/4, not 2/5. Choice D (0.5) is incorrect as it also represents 1/2, not 2/5.
How many ounces are in 2.5 quarts?
- A. 64 ounces
- B. 40 ounces
- C. 32 ounces
- D. 80 ounces
Correct Answer: D
Rationale: To convert quarts to ounces, you need to know that 1 quart is equal to 32 ounces. Therefore, to find out how many ounces are in 2.5 quarts, you multiply 2.5 by 32, which equals 80 ounces. So, the correct answer is 80 ounces. Choice A (64 ounces) is incorrect as it miscalculates the conversion. Choice B (40 ounces) is incorrect as it does not consider the correct conversion factor. Choice C (32 ounces) is incorrect as it provides the conversion for 1 quart only, not for 2.5 quarts.
What is the probability of rolling an odd number on a six-sided die?
- A. 50%
- B. 66.70%
- C. 33.30%
- D. 25%
Correct Answer: A
Rationale: A six-sided die has three odd numbers (1, 3, 5) out of six possible outcomes. To calculate the probability, divide the number of favorable outcomes (odd numbers) by the total number of outcomes: 3/6 = 0.5 or 50%. Therefore, the probability of rolling an odd number on a six-sided die is 50%. Choice A is correct. Choice B (66.70%) is incorrect as it does not represent the correct probability of rolling an odd number on a six-sided die. Choice C (33.30%) is incorrect as it represents the probability of rolling an even number. Choice D (25%) is incorrect as it does not reflect the correct probability of rolling an odd number on a six-sided die.
Solve for x: x + 44 / 2x = 11.
- A. 13
- B. 33
- C. 55
- D. 2.5
Correct Answer: A
Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.