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What fraction of 400 gallons is 180 L? Give your answer in simplest form. 1 gallon = 4.5 L.​

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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.

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