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Multiply: 39/54 x 6/13, reduced to lowest terms =
- A. 3\7
- B. 2\9
- C. 1\3
- D. 13\27
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators together and the denominators together.
(39/54) x (6/13) = (39 x 6) / (54 x 13) = 234 / 702.
Reduce the fraction to lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 234.
234 ÷ 234 = 1 and 702 ÷ 234 = 3.
So, the final answer is 1/3 (Choice C).
Choices A, B, and D are incorrect because they do not simplify to 1/3. Option A simplifies to 3/7, Option B to 2/9, and Option D to 13/27.
You may also like to solve these questions
A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
- A. 5.3
- B. 5.6
- C. 5.8
- D. 6
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
What is the result of subtracting 10.012 by 0.120?
- A. 10
- B. 9.012
- C. 10.122
- D. 9.892
Correct Answer: D
Rationale: When subtracting decimal numbers, it is essential to align the decimal points and subtract each place value. In this case, subtracting 0.120 from 10.012 results in 9.892 (D) as the correct answer. The accurate calculation is 10.012 - 0.120 = 9.892.
What is 9.6 divided by 0.8?
- A. 11.2
- B. 12
- C. 10.4
- D. 9
Correct Answer: B
Rationale: To divide 9.6 by 0.8, you should perform the division operation: 9.6 · 0.8 = 12. Therefore, the correct answer is 12. When dividing decimals, remember to move the decimal point to the right in both numbers until the divisor is a whole number. In this case, by multiplying both numbers by 10, you get 96 · 8 = 12.
15:3 = x:5. Find the value of x. (Enter whole number only.)
- A. 20
- B. 25
- C. 30
- D. 35
Correct Answer: B
Rationale: To find the value of x, we can set up a proportion: 15/3 = x/5. Simplifying this, we get 5 = x/5. Multiplying both sides by 5 gives us x = 25. Therefore, the correct answer is B (25). Choice A (20) is incorrect because it does not satisfy the proportion. Choices C (30) and D (35) also do not fit the proportion and are therefore incorrect options.
How many liters are in 5000 milliliters? (Enter numeric value only.)
- A. 0.5L
- B. 50L
- C. 5L
- D. 500L
Correct Answer: C
Rationale: Correct Answer: C (5L)
Rationale:
1. 1 liter = 1000 milliliters.
2. To convert 5000 milliliters to liters, divide 5000 by 1000.
3. 5000 ml ÷ 1000 = 5 liters.
4. Therefore, there are 5 liters in 5000 milliliters.
Summary:
- A (0.5L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 0.5L.
- B (50L): Incorrect, as the conversion from milliliters to liters is 1:1000.
- D (500L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 500L.