Final answer:
2/3 is 400% of 1/6, which is obtained by dividing 2/3 by 1/6 to find that 2/3 is four times as much as 1/6.
Step-by-step explanation:
To determine what percent 2/3 is of 1/6, we first convert the fractions to a common denominator and then compare the values. Computing 2/3 as a decimal gives 0.666..., and 1/6 as a decimal is approximately 0.166.... To find out what percent 2/3 is of 1/6, we divide 2/3 (or 0.666...) by 1/6 (or 0.166...) to get 4. This means that 2/3 is 4 times greater than 1/6. Since 100% represents equality, anything four times greater would be 400%. Therefore, 2/3 is 400% of 1/6, making the answer option D, 400%, which was not listed among the provided options A through D. The process to convert a fraction to percent usually involves first converting the fraction to a decimal and then multiplying by 100 to get the percentage. However, in this case, no multiplication by 100 was necessary as we were comparing two fractions and looking for a ratio.