High School

The basketball team practiced 3 1/4 hours on Monday and 2 1/3 hours on Tuesday. How many hours has the team practiced so far this week?

The team has practiced ___ hours this week.

Answer :

Final answer:

To calculate the total practice time, we add the hours the basketball team practiced on each day after converting the mixed numbers to improper fractions. The team practiced for a total of 5 7/12 hours this week.

Explanation:

The student's question involves adding the number of hours the basketball team practiced over two days. They practiced 3 1/4 hours on Monday and 2 1/3 hours on Tuesday. To find the total practice time, we need to add these two amounts together.

First, convert the mixed numbers to improper fractions:

  • 3 1/4 hours is equivalent to 13/4 hours.
  • 2 1/3 hours is equivalent to 7/3 hours.

Then, find a common denominator and add:

(13/4) + (7/3) = (39/12) + (28/12) = (67/12) hours.

Finally, convert back to a mixed number:

67/12 hours is equivalent to 5 7/12 hours.

Therefore, the basketball team has practiced 5 7/12 hours so far this week.