Final answer:
Emily played cards with Tucker for 1.5 hours and with Nick for 0.75 hours. Adding these times together, Emily played a total of 2 hours and 15 minutes with her friends.
Step-by-step explanation:
The question provided is related to adding fractions of time that Emily spent playing cards with her friends Tucker and Nick. To calculate the total time Emily spent playing with her friends, we must first add the time spent with each friend separately. Emily played with Tucker for 3/2 hours, which is also known as 1.5 hours or one hour and thirty minutes. She played with Nick for 3/4 hours, which can be understood as 0.75 hours or forty-five minutes.
To find the total hours, we add these fractions:
- Time with Tucker: 3/2 hours
- Time with Nick: 3/4 hours
Addition of the fractions: 3/2 + 3/4 = 6/4 + 3/4 = 9/4 hours
Converting the improper fraction to a mixed number gives us: 9/4 hours = 2 hours and 1/4 hours, or 2 hours and 15 minutes. Therefore, the total time Emily played cards with her friends is 2 hours and 15 minutes.