Final answer:
There can be 8 full-length classes held in a 7-hour school day with each class being 5/6 of an hour long, leaving 20 minutes remaining at the end of the school day.
Step-by-step explanation:
The question asks about determining the number of full-length classes that can be held during a 7-hour school day when each class is 5/6 of an hour long and calculating the minutes remaining.
To find the number of classes, you first convert the school day length to minutes (7 hours x 60 minutes = 420 minutes).
Next, convert the length of each class to minutes (5/6 hour x 60 minutes = 50 minutes). You then divide the total minutes of the school day by the minutes per class (420 minutes ÷ 50 minutes = 8.4 classes).
Since only full classes can be held, there can be 8 classes in a day.
To calculate the remaining minutes, multiply the number of full classes by the length of one class in minutes (8 classes x 50 minutes = 400 minutes) and subtract this from the total minutes in the school day (420 minutes - 400 minutes = 20 minutes).
Therefore, 8 full-length classes can be held in one day, with 20 minutes remaining.