How many pints are in 56 ounces?
- A. 4
- B. 3.5
- C. 3
- D. 5
Correct Answer: B
Rationale: To convert ounces to pints, you need to know that there are 16 ounces in a pint. To find out how many pints are in 56 ounces, you divide 56 by 16 (56 ounces · 16 ounces/pint), which equals 3.5 pints. Therefore, there are 3.5 pints in 56 ounces.
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What is 32 divided by 8/9?
- A. 36
- B. 4 & 1/9
- C. 28 & 4/9
- D. 4
Correct Answer: A
Rationale: To divide by a fraction, you can multiply by its reciprocal. In this case, 32 divided by 8/9 is equivalent to 32 multiplied by 9/8. Multiplying 32 by 9/8 gives 288/8, which simplifies to 36. Therefore, the correct answer is A, 36. When dividing by a fraction, remember to multiply by the reciprocal to find the result. In this case, multiplying 32 by the reciprocal of 8/9, which is 9/8, gives the final answer of 36.
Karen goes to the grocery store with $40. She buys a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $31.90
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of her purchases from the amount she started with. The total cost of her purchases is calculated by adding the prices of the carton of milk, loaf of bread, and bunch of bananas: $1.85 + $3.20 + $3.05 = $8.10. By subtracting $8.10 from the $40 Karen started with, we get $31.90. Therefore, Karen has $31.90 left after buying the items.
Ratio and Proportion: 15:1000 :: X:100
- A. X = 7.5
- B. X = 6,666
- C. X = 0.15
- D. X = 1.5
Correct Answer: D
Rationale: To solve this proportion problem, we set up the ratio 15:1000 equal to X:100. This gives us (15/1000) = (X/100). Cross-multiplying, we get 15 — 100 = 1000X, which simplifies to 1500 = 1000X. Dividing both sides by 1000, we find X = 1.5. Therefore, the correct answer is X = 1.5.
Multiply: 4/9 x 4/5
- A. 5\9
- B. 16/45
- C. 1\2
- D. 5\4
Correct Answer: B
Rationale: To multiply fractions, you simply multiply the numerators together and the denominators together. For 4/9 x 4/5, it would be (4 x 4) / (9 x 5) = 16/45. The correct answer is B.
Choice A (5/9) is incorrect as it results from multiplying the numerators and denominators in the wrong order.
Choice C (1/2) is incorrect because multiplying 4/9 and 4/5 does not yield 1/2.
Choice D (5/4) is incorrect as it results from adding the numerators instead of multiplying them.
Therefore, the correct answer is B (16/45) as it follows the correct multiplication process for fractions.
What is the result of subtracting 2 5/8 from 7/8, reduced to lowest terms?
- A. 1 3/4
- B. 1 6/8
- C. 1 1/4
- D. 1 5/8
Correct Answer: A
Rationale: To subtract mixed numbers, convert them to improper fractions. 2 5/8 as an improper fraction is 21/8. Subtracting 7/8 from 21/8 results in 14/8. Simplifying 14/8 to lowest terms gives 1 3/4, which is the final answer.
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