(1/3 + 1/6 + 1/12) is what percent of (1/6 + 1/12 + 1/24)?

Rationale

(1/3 + 1/6 + 1/12) is 200% of (1/6 + 1/12 + 1/24).

To solve the problem, we first determine the two sums: (1/3 + 1/6 + 1/12) equals 0.5, while (1/6 + 1/12 + 1/24) equals 0.25. Therefore, 0.5 is 200% of 0.25, leading us to the correct answer.

A (2%) YOUR ANSWER

This option suggests that the first sum is a mere fraction of the second, which is incorrect. The calculations show that the first sum is significantly larger than the second, making 2% an inaccurate representation of their relationship.

B (16%) YOUR ANSWER

Choosing 16% indicates a misunderstanding of the ratios between the two sums. In fact, the first sum is not just a small fraction but rather twice the second sum, making this answer far too low.

C (50%) YOUR ANSWER

This choice implies that the first sum is half of the second, which is again incorrect. The calculations reveal that the first sum is actually double the second, rendering 50% an inappropriate answer.

D (100%) YOUR ANSWER

Opting for 100% would suggest that both sums are equal, which they are not. The first sum, at 0.5, is clearly larger than the second sum of 0.25, thus disproving this option.

Conclusion

The solution confirms that (1/3 + 1/6 + 1/12) equates to 200% of (1/6 + 1/12 + 1/24), highlighting the significant difference in their values. Each incorrect choice underestimates the larger sum's dominance over the smaller sum, which is central to understanding their percentage relationship. The calculations demonstrate that the first sum is indeed double the second, affirming the correctness of the selected answer.

(1/3 + 1/6 + 1/12) is what percent of (1/6 + 1/12 + 1/24)?

(1/3 + 1/6 + 1/12) is 200% of (1/6 + 1/12 + 1/24).

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test