Nokea
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.
You may also like to solve these questions
After the expiration date, a vitamin's calcium content decreases. If each tablet initially contains 500 mg of calcium, and 325 mg deteriorates, what is the remaining total amount of calcium per tablet?
- A. 175 mg
- B. 185 mg
- C. 135 mg
- D. 200 mg
Correct Answer: A
Rationale: To determine the remaining calcium content per tablet, subtract the deteriorated amount from the initial amount: 500 mg - 325 mg = 175 mg. After deterioration, each tablet will have 175 mg of calcium remaining. Therefore, the correct answer is A (175 mg). The calculation involves simple subtraction to find the difference between the initial calcium content and the deteriorated amount, providing the accurate remaining total calcium content per tablet.
Add: 5 1/4 + 7 1/3 =
- A. 11 2/7
- B. 12 7/12
- C. 11 5/12
- D. 12 1/2
Correct Answer: B
Rationale: To add 5 1/4 and 7 1/3, first convert both fractions to have the same denominator. LCM of 4 and 3 is 12. So, 5 1/4 becomes 5 3/12 and 7 1/3 becomes 7 4/12. Adding these gives 12 7/12, which is choice B. This is correct because when you add fractions, you add the numerators while keeping the denominators the same.
Choice A (11 2/7) is incorrect as it doesn't account for the proper conversion and addition of fractions with a common denominator. Choice C (11 5/12) is incorrect as the addition was not done accurately. Choice D (12 1/2) is incorrect as it doesn't consider the fractions separately before adding.
Subtract 5/6 - 3/4.
- A. 1/2
- B. 1/12
- C. 2/24
- D. 1
Correct Answer: B
Rationale: To subtract fractions, you need a common denominator. The common denominator between 6 and 4 is 12. Convert both fractions to have a denominator of 12. 5/6 becomes 10/12 and 3/4 becomes 9/12. Subtracting 10/12 - 9/12 results in 1/12. Therefore, the correct answer is 1/12.
What is 27 minus 3.54?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To solve this subtraction problem, you need to subtract 3.54 from 27. When subtracting decimals, start by aligning the decimal points. Subtract the whole number part first (27 - 3 = 24) and then subtract the decimal part (0.54). This results in 23.46. Therefore, the correct answer is 23.46 (choice B). Remember, when subtracting decimals, align the decimal points and carry out the subtraction as if they were whole numbers.
Which is the largest expression?
- A. 0.195833
- B. 1:20
- C. 1:22
- D. 1:02
Correct Answer: A
Rationale: Correct Answer: A: 0.195833
Rationale: To compare the expressions, convert them to decimal form. A: 0.195833, B: 1.20, C: 1.22, D: 1.02. A is the largest as it is closest to 1. B is 1.20, C is 1.22, and D is 1.02. A is larger than D by 0.175833, which is the greatest difference among the options, making A the largest expression.