Final answer:
The correct result of this division is 1/2, which is demonstrated by flipping the divisor and multiplying, consistent with the rules of dividing fractions. Darius' claim that 1/3 divided by 2/3 equals 2 is false.
Step-by-step explanation:
The statement made by Darius that 1/3 divided by 2/3 equals 2 is false. To understand this concept, let's use the pie example. Envision that you have a pie cut into 3 equal slices. Taking one of those slices gives you 1/3 of the pie. Now, if you were to divide that slice into two smaller equal slices, each would represent 1/6 of the whole pie, which is half of 1/3.
In terms of fractions, the division of fractions involves flipping the divisor and multiplying. Therefore, dividing 1/3 by 2/3 is the same as 1/3 multiplied by the reciprocal of 2/3, which is 3/2. Multiplying these fractions (1/3 * 3/2), you get 1/2 as the answer, not 2. So, mathematically, 1/3 divided by 2/3 is 1/2, which shows Darius' claim to be incorrect.