Answer:

To find out how many liters of water the drum contains if it is 1/9 full, we need to first calculate 1/9 of the total capacity of the drum.

Total capacity of the drum = 50 ¾ liters

Since ¾ of a liter is equal to 3/4 liters, we can convert the mixed number 50 ¾ into an improper fraction as follows:

50 ¾ = 50 + 3/4 = 200/4 + 3/4 = 203/4 liters

Now, we can find 1/9 of the total capacity:

(1/9) * (203/4) = 203/36

To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor, which is 1:

203/36 = (203 ÷ 1) / (36 ÷ 1) = 203/36

Therefore, a plastic water drum that is 1/9 full contains 203/36 liters of water.