Answer:
the large bottle holds 4 1/6 more liters than the small bottle.
Explanation:
The small bottle holds 1/3 of a liter, and the large bottle holds 4 1/2 liters. To find the difference in how much the two bottles hold, we need to subtract the volume of the small bottle from the volume of the large bottle:
4 1/2 liters - 1/3 liter
To subtract these two values, we need to find a common denominator. The easiest common denominator to use is 6, so we can convert 4 1/2 to an improper fraction with a denominator of 6:
4 1/2 = 9/2 = 27/6
Now we can subtract the fractions:
27/6 - 1/3
To subtract these fractions, we need to find a common denominator of 6:
27/6 - 2/6 = 25/6
So the large bottle holds 25/6 more liters than the small bottle. To convert this to a mixed number, we can divide the numerator (25) by the denominator (6) to get:
25/6 = 4 1/6
Therefore, the large bottle holds 4 1/6 more liters than the small bottle.