The large container has 13.5 liters of milk. Chen wants to fill as many 3/4 liter containers as possible with this milk. How many containers will he be able to fill?

Remark :

1 / 2 = 2 / 4

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13.5 = 13 + 1 / 2 = 13 + 2 / 4 = 13 * 4 / 4 + 2 / 4 = 52 / 4 + 2 / 4 = 54 / 4

13.5 / ( 3 / 4 ) = ( 54 / 4 ) / ( 3 / 4 ) = 54 / 3 = 18

To solve this problem, we need to find out how many times the quantity 3/4 liters can be divided into the larger quantity of 13.5 liters.

First, we need to convert 13.5 liters into the same units as 3/4 liters. We multiply the numerator and denominator of 3/4 by 3, which gives us 9/12 liters. This means that there are 9/12 liters in each 3/4 liter container.

Now, we divide the larger quantity of 13.5 liters by the smaller quantity of 9/12 liters. To divide fractions, we multiply the first fraction by the reciprocal (flipped version) of the second fraction. So, 13.5 / (9/12) can be rewritten as 13.5 * (12/9).

Doing the multiplication, we get (13.5 * 12) / 9, which equals 162 / 9. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9. So, 162 divided by 9 gives us 18.

Therefore, Chen will be able to fill 18 containers with the milk.