The pet shop owner told Jean to fill her new fish tank 3/4 full with water. Jean filled it 9/12 full. What fraction of the tank does Jean still need to fill?

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3/4 = 9/12

3/12

To answer this question, we need to compare the amount of water Jean filled in the tank with the total capacity of the tank.

Given that the pet shop owner told Jean to fill the tank 3/4 full with water. This means that if we divide the tank into four equal parts, three of those parts should be filled with water.

Now, we know that Jean filled the tank 9/12 full. To make it easier to compare these fractions, let's first convert 3/4 to twelfths, since we have 12 as the denominator for 9/12.

To convert 3/4 into twelfths, we need to multiply both the numerator and denominator by 3:
3/4 = (3 * 3) / (4 * 3) = 9/12

Now, we can see that Jean filled the tank with the same fraction as the pet owner advised, which is 9/12.

To find out what fraction of the tank does Jean still need to fill, we subtract the fraction filled by Jean from the total capacity of the tank, which is 12/12 (as 12 is the denominator):

12/12 - 9/12 = 3/12

Therefore, Jean still needs to fill 3/12 or simplifying it, 1/4 of the tank.