One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

Options

A. `(2)/(5)`
B. `(2)/(3)`
C. `(1)/(3)`
D. `(1)/(6)`

Answer

To find out what part of the tank is full when it contains 180 liters of water, we can follow these steps:

### Step 1: Determine the total capacity of the tank.
We know that one-fourth of the tank holds 135 liters of water. Therefore, the total capacity of the tank can be calculated by multiplying the amount of water in one-fourth of the tank by 4.

\[ \text{Total capacity of the tank} = 135 \text{ liters} \times 4 = 540 \text{ liters} \]

### Step 2: Calculate the part of the tank that is full with 180 liters of water.
Now that we have the total capacity of the tank, we can find out what part of the tank is filled with 180 liters of water. This can be done by dividing the amount of water in the tank by the total capacity.

\[ \text{Part of the tank that is full} = \frac{180 \text{ liters}}{540 \text{ liters}} = \frac{1}{3} \]

### Conclusion:
The tank is \(\frac{1}{3}\) full when it contains 180 liters of water.

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