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What is the result of adding 2/3 and 4/9?
- A. 1 (1/9)
- B. 1 (1/3)
- C. 2/9
- D. 10/9
Correct Answer: A
Rationale: To add 2/3 and 4/9, you need to find a common denominator. In this case, the common denominator is 9. Convert 2/3 to 6/9. Now, the addition becomes 6/9 + 4/9 = 10/9. Simplifying 10/9 gives you 1 (1/9). Therefore, the correct answer is 1 (1/9). When adding fractions, having a common denominator is essential for accurate calculation.
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Subtract: 9/10 - 2/5
- A. 1/2
- B. 3/10
- C. 4/10
- D. 1/4
Correct Answer: A
Rationale: To subtract fractions, you need a common denominator. In this case, convert 2/5 to an equivalent fraction with a denominator of 10, giving you 4/10. Now subtract: 9/10 - 4/10 = 5/10. Simplifying 5/10 to its lowest terms, you get 1/2. Therefore, the correct answer is 1/2, which represents the result of subtracting 2/5 from 9/10.
What is 54% of $789.56?
- A. $426.36
- B. $526.38
- C. $363.20
- D. $426.37
Correct Answer: A
Rationale: To calculate 54% of $789.56, you multiply $789.56 by 0.54 (which is the decimal form of 54%). This gives you approximately $426.36. Therefore, the correct answer is A, as it represents 54% of the given amount.
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.
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.
A man wants to get the best deal he can for gasoline, so he travels out of his way to buy gas at $2.14 a gallon instead of $2.26, which is the price at his local station. If he put 15.7 gallons in his tank, how much did he save by going to the less expensive station?
- A. $1.88
- B. $5.03
- C. $0.12
- D. $18.00
Correct Answer: A
Rationale: The correct answer is A: $1.88. To calculate the savings, we subtract the cost of gas at the local station ($2.26/gallon) from the cheaper station ($2.14/gallon): $2.26 - $2.14 = $0.12 saved per gallon. Multiply the savings per gallon by the total gallons purchased (15.7 gallons): $0.12/gallon x 15.7 gallons = $1.88 saved.
Choice B ($5.03) is incorrect as it is not the result of the correct calculation. Choice C ($0.12) is also incorrect as it represents the savings per gallon, not the total savings. Choice D ($18.00) is incorrect as it does not align with the actual savings achieved by purchasing at the cheaper station.