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What is the sum of 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 8. Converting 1/4 to have a denominator of 8 results in 2/8, while 3/8 remains the same. Adding them gives 2/8 + 3/8 = 5/8. Therefore, the correct sum of 1/4 + 3/8 is 5/8.
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If a die is rolled, what is the probability of getting an odd number?
- A. 50%
- B. 75%
- C. 16.70%
- D. 33%
Correct Answer: A
Rationale: When a fair six-sided die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 3/6 or 1/2, equivalent to 50%. Therefore, the correct answer is 50%. This means that when rolling a fair six-sided die, there is a 50% chance of getting an odd number.
Change the decimal to a percent: 0.64 =
- A. 0.64%
- B. 64%
- C. 6.40%
- D. 0.06%
Correct Answer: B
Rationale: To convert a decimal to a percent, you move the decimal point two places to the right and add a percentage sign. In this case, 0.64 becomes 64%. Therefore, the correct answer is B.
How many ounces are in 3 5/8 quarts?
- A. 32
- B. 116
- C. 96
- D. 928/8
Correct Answer: B
Rationale: To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.
Divide: 4 2/3 · 2 3/4 =
- A. 1 23/33
- B. 2 8/9
- C. 3 21/3
- D. 4 23/4
Correct Answer: A
Rationale: To divide mixed numbers, convert them to improper fractions. For 4 2/3, the improper fraction is 14/3, and for 2 3/4, it is 11/4. When dividing 14/3 by 11/4, you get 154/33, which simplifies to 4 22/33 or 1 22/33. Therefore, the correct answer is 1 23/33, which is represented in mixed number form as 1 23/33.
What is the result of multiplying 20.3 by 2? (Enter a numerical value only.)
- A. 40.5
- B. 40.6
- C. 41
- D. 39.5
Correct Answer: B
Rationale: To find the result of multiplying 20.3 by 2, you simply multiply the two numbers: 20.3 x 2 = 40.6. When multiplying decimals, multiply as if they were whole numbers and then adjust the decimal point in the product. In this case, the product is 40.6. Therefore, the correct answer is 40.6, rounded to the nearest tenth.