Yuki works at an aquarium. To clean a tank, she calculates 7/900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 1/3L of cleaning solution. What is the total volume of the tank? _____ liters

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Convert to Improper Fraction: Convert the mixed number to an improper fraction. 2 1/3 liters can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction and adding the numerator, then placing the result over the original denominator. 2 1/3 = (2 * 3 + 1)/3 = (6 + 1)/3 = 7/3 liters.Set up Equation: Set up the equation to find the total volume of the tank. We know that 7/900 of the tank's volume is equal to 7/3 liters. Let's call the total volume of the tank V. So, we can write the equation as: (7/900) * V = 7/3Solve for V: Solve for V, the total volume of the tank. To solve for V, we need to isolate V on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 7/900. V = (7/3) * (900/7)Simplify Equation: Simplify the equation. We can cancel out the 7 in the numerator of the first fraction and the 7 in the denominator of the second fraction. V = (1/3) * (900/1) V = 900/3Calculate Total Volume: Calculate the total volume of the tank. 900 divided by 3 is 300. V = 300 liters

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