Answer :
Final answer:
To find the total practice time for the basketball team, we add 3 and 1/4 hours (Monday) to 2 and 1/3 hours (Tuesday), converting them to improper fractions and finding a common denominator to get a final result of 5 hours and 7/12 hours for the total practice time so far.
Explanation:
To calculate the total practice time for the basketball team, we need to add the hours they practiced on Monday and Tuesday. On Monday, the team practiced for 3 and 1/4 hours, and on Tuesday, they practiced for 2 and 1/3 hours. First, we convert these mixed numbers into improper fractions to make it easier to add them together.
3 and 1/4 hours is equivalent to (3 × 4) + 1 = 13/4 hours. 2 and 1/3 hours is equivalent to (2 × 3) + 1 = 7/3 hours. Now we
have:
13/4 hours for Monday
7/3 hours for Tuesday
To add these fractions, we need a common denominator, which would be 12 in this case. So we have:
(13/4) × (3/3) = 39/12 hours for Monday
(7/3) × (4/4) = 28/12 hours for Tuesday
Adding these together, we get:
39/12 hours + 28/12 hours = 67/12 hours
Finally, we convert 67/12 hours back to a mixed number:
67/12 hours = 5 hours and 7/12 hours
Therefore, the basketball team has practiced a total of 5 hours and 7/12 hours so far this week.
Answer:
5 7/12
Step-by-step explanation:
3 1/4 + 2 1/3
Multiply the fractions by a number in order to have the same denominator. ( in this case 12)
3 3/12 + 2 4/12
Add straight across
5 7/12