Answer:
To find out how many hours Stephen will practice over two weeks while keeping his schedule, you need to calculate the total practice time for one week and then double it for two weeks.
Stephen's practice schedule for one week is as follows:
Tuesday: 1 3/4 hours = 7/4 hours
Thursday: 2 1/2 hours = 5/2 hours
Saturday: 3 hours
Now, calculate the total practice time for one week:
Total practice time for one week = (7/4) hours + (5/2) hours + 3 hours
To add fractions, you need a common denominator. In this case, the common denominator is 4:
Total practice time for one week = (7/4) hours + (10/4) hours + (12/4) hours
Now, add the fractions:
Total practice time for one week = (7/4 + 10/4 + 12/4) hours = (29/4) hours
Now, double this time to account for two weeks:
Total practice time for two weeks = 2 * (29/4) hours
To multiply a fraction by a whole number, simply multiply the numerator by the whole number:
Total practice time for two weeks = (2 * 29)/(4) hours = 58/4 hours
Now, simplify the fraction:
Total practice time for two weeks = 14.5 hours
So, Stephen will practice for a total of 14.5 hours over two weeks while keeping his schedule.