Final answer:
Kai added a total of 23 2/3 gallons of water to the inflatable pool after simplifying and adding the mixed numbers he used: 9 gallons, 9 2/3 gallons, and 5 gallons.
Step-by-step explanation:
Kai is filling up an inflatable pool with water and the amounts he adds are mixed numbers. To find out the total gallons of water he added, we need to add these mixed numbers together. First, we simplify each mixed number and then add them.
5 8/2 gallons can be simplified since 8/2 is a reducible fraction. It simplifies to 4 gallons, making the entire number 5 + 4 = 9 gallons.
Next, 7 8/3 gallons simplifies because 8/3 is an improper fraction and can be converted into a mixed number. The whole number portion is 2 (since 3 goes into 8 twice) and the remainder is 2, making it 2 2/3. Thus it becomes 7 + 2 2/3 = 9 2/3 gallons.
Finally, for 3 8/4 gallons, the fraction 8/4 can be simplified to 2, which turns the mixed number into 3 + 2 = 5 gallons.
Now we add up all the simplified figures:
9 gallons + 9 2/3 gallons + 5 gallons, which gives us 23 2/3 gallons.
This is the total amount of water Kai added to the pool.