Answer: 5 1/3 hours
Explanation:
Since Basil and Daniel decided to work at the Carnival for 9 5/6 hours and Basil worked for 4 1/2 hours, the number of hours that Daniel worked will be gotten by subtracting 4 1/2 hours from 9 5/6 hours. This will be:
= 9 5/6 - 4 1/2
= 9 10/12 - 4 6/12
= 5 4/12
= 5 1/3 hours
Daniel will work for 5 1/3 hours.