Nokea
Round to the nearest whole number: 4748 — 12 =
- A. 372
- B. 384
- C. 396
- D. 412
Correct Answer: C
Rationale: To find the result of 4748 — 12 and round to the nearest whole number, multiply 4748 by 12 to get 56976. When considering rounding to the nearest whole number, 56976 is closest to 57000. Since 56976 is closer to 57000 than to 56000, the rounded answer is 57000. Therefore, the correct rounded answer is 57000, which corresponds to 396 in the given choices.
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What is the result of dividing 5 & 3/4 by 1/2, reduced to the simplest form?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, you first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Dividing 23/4 by 1/2 is equivalent to multiplying 23/4 by 2/1, resulting in 46/4. When simplified back to a mixed number, 46/4 is 11 & 1/2.
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.
Add: 1 2/3 + 4/7, reduced to lowest terms =
- A. 1 2/5
- B. 2 1/7
- C. 2 5/21
- D. 2 5/21
Correct Answer: D
Rationale: To add 1 2/3 and 4/7, first convert 1 2/3 to an improper fraction: 3*(1)+2=5/3. Then, find a common denominator for 5/3 and 4/7, which is 21. Convert 5/3 to 35/21 and 4/7 to 12/21. Add them to get 47/21, which simplifies to 2 5/21. Therefore, the correct answer is D. Choice A is incorrect as it does not match the calculated result. Choice B is incorrect as it does not account for the proper fraction addition. Choice C is incorrect as it does not simplify to the correct result.
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.
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.