To find the total amount of time spent on these tasks, we need to add the time spent aiding vehicles in distress, the time spent at the scene of an accident, and the time spent writing tickets.
Converting the time spent at the scene of an accident from mixed number to improper fraction:
1 3/4 = 4/4 + 3/4 = 7/4
Converting the time spent writing tickets to an improper fraction:
2 hours and 25 minutes = 2 + 25/60 = 2 + 5/12 = 24/12 + 5/12 = 29/12
Now, adding the time spent on each task:
30 minutes = 30/60 = 1/2 hour
7/4 hours + 29/12 hours + 1/2 hour = (7/4 + 29/12 + 1/2) hours
To add the fractions, we need a common denominator, which is 12:
(7/4 + 29/12 + 1/2) hours = (21/12 + 29/12 + 6/12) hours = 56/12 hours
Simplifying the fraction:
56/12 = 4 and 2/3
Therefore, the total amount of time the officer spent on these tasks is 4 2/3 hours.
The correct answer is 4 fraction numerator 2 over denominator 3 end fraction hours.
At the end of each working day, highway police must report the total amount of time spent performing certain tasks. During one 8-hour shift, an officer spent 30 minutes aiding vehicles in distress, 1 3 over 4 hours at the scene of an accident, and 2 hours and 25 minutes writing tickets. How much time did the officer spend doing these tasks?
Select the correct answer.
Question 1 options:
4 fraction numerator 2 over denominator 3 end fraction hours
4 fraction numerator 1 over denominator 3 end fraction hours
4 fraction numerator 1 over denominator 2 end fraction hours
1 answer