High School

The basketball team practices 3 \(\frac{1}{4}\) hours on Monday and 2 \(\frac{1}{3}\) hours on Tuesday. How many hours has the team practiced so far this week?

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