To find two and a third of a mile, we can follow these steps:
- Convert the given value to fractions: One mile is equal to (6336) feet. Two and a third cups of coffee are equal to (1) cup plus (2/3) cups of coffee. To find two and a third of a mile in terms of feet, we need to convert this to feet. There are (5280) feet in one mile. Thus, two and a third cups of coffee are equal to (5328) feet. This can be represented as the mixed number (\frac{7}{3}), where (\frac{7}{3}) is the mixed number formed by (7) parts of (\frac{1}{3}) and (1) parts of (\frac{1}{3}). To find this value in terms of feet, we multiply this mixed number by (5280):
[
\frac{7}{3} \times 5280 = 11840\text{ feet}
]
Thus, two and a third of a mile is equal to \boxed{11840}\text{ feet}.
The answer is provided in an easily accessible format that includes units, the final answer, and an explanation of the steps taken to arrive at that answer.
