Final answer:
The division problem 2/3 ÷ 1/6 can be represented as a scenario of finding out how many 1/6 segments of a pie fit into a larger piece that is 2/3 of the pie. The solution involves converting the division into multiplication by the reciprocal, resulting in an answer of 4.
Step-by-step explanation:
The division problem 2/3 ÷ 1/6 represents a scenario in mathematics where we might be trying to find out how many segments of 1/6 fit into a whole of 2/3. In terms of pies, if each segment of the pie represents 1/6 of the pie, we are trying to determine how many 1/6 segments can be taken from a portion that is 2/3 of the pie.
To solve this, we'll use division of fractions, which can also be thought of as multiplying by the reciprocal. So, dividing 2/3 by 1/6 is the same as multiplying 2/3 by the reciprocal of 1/6, which is 6/1. Thus, we have (2/3) × (6/1) = 12/3, which simplifies to 4. Hence, four 1/6 pie segments fit into a 2/3 portion of the pie.