Final answer:
Tyrion practiced his trumpet for a total of (16/12) hours when adding (3/4) hour on Monday and (7/12) hour on Tuesday after converting (3/4) to (9/12) so both fractions have the same denominator.
Step-by-step explanation:
To find out how long Tyrion practiced his trumpet on Monday and Tuesday, we need to add the amount of time he practiced on each day. He practiced (3/4) of an hour on Monday and (7/12) of an hour on Tuesday. To add these fractions, they need to have the same denominator.
The least common denominator (LCD) for 4 and 12 is 12. We convert (3/4) to (9/12) by multiplying both the numerator and the denominator by 3. Now we can add the two fractions:
(9/12) + (7/12) = (16/12)
The sum is (16/12), which is the total time Tyrion practiced over the two days. This is an improper fraction, so we can leave the answer in this form as requested.