Answer:
The quotient is; (the whole number)
![6](https://img.qammunity.org/2023/formulas/mathematics/college/pc6x99c60qwucidjk4ealyo6hmi9j7d7en.png)
and the remainder is;(numerator of the fraction)
![5](https://img.qammunity.org/2023/formulas/mathematics/high-school/q35gspm3osqm4gl92d1u7bydqn7g6fougf.png)
Each day they will hike:
![6(5)/(12)](https://img.qammunity.org/2023/formulas/mathematics/college/m2hcwtos9uqbncdj0a6kvcyms3xjskvmi7.png)
Step-by-step explanation:
From the question, it was given that they have to hike a total of 77 miles in 12 days.
total distance = 77 miles
Total time = 12 days
To get the distance they will hike per day, we will divide the total distance by the total time.
![\begin{gathered} r=(77)/(12)=(72+5)/(12) \\ r=(72)/(12)+(5)/(12) \\ r=6+(5)/(12) \\ r=6(5)/(12) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ftolw4tt4gr6yzu0hshun3oe20m581l8ft.png)
Therefore, The quotient is; (the whole number)
![6](https://img.qammunity.org/2023/formulas/mathematics/college/pc6x99c60qwucidjk4ealyo6hmi9j7d7en.png)
and the remainder is;(numerator of the fraction)
![5](https://img.qammunity.org/2023/formulas/mathematics/high-school/q35gspm3osqm4gl92d1u7bydqn7g6fougf.png)