Question

Sam practices soccer for 1 1/3 hours on Friday, 3/8 hours on Saturday and 7/9 hours on Sunday. How many hours of soccer did he practice altogether?

Answer 1

Sam practiced soccer for a total of 115/72 hours.

Step-by-step explanation:

To find the total number of hours Sam practiced soccer, we need to add up the hours he practiced on each day.

On Friday, he practiced for 1 1/3 hours, which can be written as 4/3 hours.

On Saturday, he practiced for 3/8 hours.

And on Sunday, he practiced for 7/9 hours.

To find the total, we need to add:

4/3 + 3/8 + 7/9

First, we need to find a common denominator. The least common multiple of 3, 8, and 9 is 72.

Now, let's convert the fractions to have a denominator of 72:

4/3 = 32/24

3/8 = 27/72

7/9 = 56/72

Now we can add:

32/24 + 27/72 + 56/72 = 115/72

So, Sam practiced soccer for a total of 115/72 hours.

Answer 2

Sam practiced a total of 1 43/72 hours of soccer over the weekend by adding the time he practiced on each day and converting the sum into a mixed number.

Step-by-step explanation:

To calculate the total time Sam practiced soccer over the weekend, we must add the time he practiced on each day. On Friday, Sam practiced for 1 1/3 hours which is equivalent to 4/3 hours. On Saturday, he practiced for 3/8 hours, and on Sunday, the practice was 7/9 hours.

To find the total practice time, we need to add these fractions:

4/3 + 3/8 + 7/9

To add these fractions, we first need a common denominator. The least common denominator for 3, 8, and 9 is 72. We convert each fraction to have a denominator of 72 and then add:

(32/72) + (27/72) + (56/72)

Now we add the numerators:

32 + 27 + 56 = 115

So the total practice time is 115/72 hours. To convert this into a mixed number, we see that 72 fits into 115 once, with a remainder of 43, giving us:

1 43/72 hours

Therefore, Sam practiced a total of 1 43/72 hours of soccer over the weekend.