Anna decided to start an exercise program. She kept track of how much she exercised each week. On Tuesday she took an aerobics class for 3/4 hour. On Thursday she went on a hike for 1 1/2 hours. On Saturday she played basketball for 3 1/4 hours. How many hours did she exercise in all last week?
3/4 + 1 1/2 + 3 1/4
3/4 + 6/4 + 13/4
22/4 = 11/2 = 5 1/2 hrs
To find the total number of hours Anna exercised last week, we need to add the amount of time she exercised each day. Let's break it down:
1. On Tuesday, she took an aerobics class for 3/4 hour.
2. On Thursday, she went on a hike for 1 1/2 hours.
3. On Saturday, she played basketball for 3 1/4 hours.
To add these fractions, we need to find a common denominator. The common denominator for 4, 2, and 4 is 4.
Converting the fractions to have a denominator of 4:
- 3/4 hour is equal to 3/4 * 4/4 = 12/16 hour.
- 1 1/2 hours is equal to (1 * 2/2) + 1/2 = 3/2 * 4/4 = 12/8 hour.
- 3 1/4 hours is equal to (3 * 4/4) + 1/4 = 12/4 + 1/4 = 13/4 hour.
Now we can add the converted fractions:
12/16 + 12/8 + 13/4 = (12 + 24 + 52)/16 = 88/16.
Simplifying the fraction:
88/16 = 44/8 = 22/4 = 5 1/2.
Therefore, Anna exercised for a total of 5 1/2 hours last week.