Final answer:
To find the fraction of 400 gallons that is equivalent to 180 liters, convert gallons to liters using the conversion rate of 1 gallon to 4.5 liters. The simplified fraction is 9/2.
Step-by-step explanation:
To find the fraction of 400 gallons that is equivalent to 180 liters, we first need to convert the gallons to liters. Using the conversion rate that 1 gallon is equivalent to 4.5 liters, we can set up the following proportion:
1 gallon / 4.5 liters = 400 gallons / x liters
Cross-multiplying, we get:
1 * x = 4.5 * 400
x = 1800
Therefore, 180 liters is equal to 1800/400 or 9/2 of 400 gallons in simplest form.