Final answer:
Orel Eli poured a total of 9/8 gallons of water into a bucket. This is more than a gallon and is equivalent to 4.5 quarts, as we use the conversion of 4 quarts per gallon.
Step-by-step explanation:
To find out how much water is in the bucket after Orel Eli poured 1/2 of a gallon and then added 5/8 of a gallon more, we need to add these two amounts together.
First, write down the two fractions:
Next, find a common denominator to add them. Since 8 is a multiple of both 2 and 8, we'll use 8 as the common denominator. Now, convert 1/2 to 4/8 to match the denominator:
- 1/2 = 4/8
- 5/8 remains the same
Then, add the two fractions:
4/8 + 5/8 = 9/8 gallons
You now have more than a full gallon since 9/8 is greater than 8/8 (which is 1 gallon). To convert this to quarts, knowing that there are 4 quarts in a gallon, you multiply the fraction by 4:
(9/8) × 4 = 36/8 = 4.5 quarts
So, the bucket now contains 4.5 quarts of water which is equivalent to 9/8 gallons.