We were told that you have from 9:30 pm to 11 pm to do a project. This means that you have an hor and 30 minutes to do the project. Recall,
1 hour = 60 minutes
1 hour and 30 minutes would be 60 + 30 = 90 minutes
A) At 10pm, the amount of time that you have left is 1 hour(between 10pm and 11 pm)
This is equal to 60 minutes. The fraction of time left would be
time left/total number of hours
fraction of time that is remaining = 60/90 = 2/3
B) At 10:50 pm, the number of minutes left before 11 pm is 10 minutes. Thus,
Fraction of time that is remaining = 10/90 = 1/9