To find the total amount of time Tamika practiced, we need to add the fractions representing her practice time in the morning and afternoon.
Morning practice: 1/4 hour
Afternoon practice: 5/6 hour
To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 4 and 6 is 12. Let's convert the fractions to have a common denominator of 12:
Morning practice: 1/4 hour = 3/12 hour
Afternoon practice: 5/6 hour = 10/12 hour
Now we can add the fractions:
Total practice time = 3/12 hour + 10/12 hour = 13/12 hour
The total practice time is 13/12 hour. Since this fraction is improper (the numerator is greater than the denominator), we can simplify it as a mixed number:
13/12 hour = 1 and 1/12 hours
Therefore, Tamika practiced for a total of 1 and 1/12 hours.