Madhav and Daksh bought 4 litres of orange juice. Madhav drank `(2)/(5)` of the juice and Daksh finished the rest. How many litres of juice did Daksh drink?

Answer

To find out how many liters of juice Daksh drank, we can follow these steps:

### Step 1: Determine how much juice Madhav drank.
Madhav drank \( \frac{2}{5} \) of the total juice. The total amount of juice is 4 liters.

\[ \text{Amount of juice Madhav drank} = \frac{2}{5} \times 4 \]

### Step 2: Calculate the amount of juice Madhav drank.
Now we perform the multiplication:

\[ \frac{2}{5} \times 4 = \frac{2 \times 4}{5} = \frac{8}{5} \text{ liters} \]

### Step 3: Determine how much juice is left for Daksh.
To find out how much juice Daksh drank, we need to subtract the amount Madhav drank from the total amount of juice.

\[ \text{Amount of juice Daksh drank} = \text{Total juice} - \text{Amount of juice Madhav drank} \]

Substituting the values we have:

\[ \text{Amount of juice Daksh drank} = 4 - \frac{8}{5} \]

### Step 4: Convert 4 liters to a fraction with a common denominator.
To subtract \( \frac{8}{5} \) from 4, we convert 4 into a fraction with a denominator of 5:

\[ 4 = \frac{20}{5} \]

### Step 5: Perform the subtraction.
Now we can subtract:

\[ \text{Amount of juice Daksh drank} = \frac{20}{5} - \frac{8}{5} = \frac{20 - 8}{5} = \frac{12}{5} \text{ liters} \]

### Step 6: Final answer.
Thus, Daksh drank \( \frac{12}{5} \) liters of juice, which can also be expressed as 2.4 liters.