Thomas has 8 packets of milk. Each packet contains 2/5 liter of milk. After pouring all the milk into a container, he uses 1 4/5 liters of the milk to make a dessert. How much milk... Thomas has 8 packets of milk. Each packet contains 2/5 liter of milk. After pouring all the milk into a container, he uses 1 4/5 liters of the milk to make a dessert. How much milk does he have left? Read more

Steps to Solve

1. Calculate Total Milk from Packets
   First, we need to find the total amount of milk from the 8 packets. Each packet contains ( \frac{2}{5} ) liters, so we multiply the amount per packet by the number of packets:
   $$ \text{Total Milk} = 8 \times \frac{2}{5} $$

2. Multiply to Find Total Milk
   Now, we compute the total:
   $$ \text{Total Milk} = \frac{16}{5} \text{ liters} $$
   This fraction represents the total liters of milk Thomas has after pouring everything into the container.

3. Convert Mixed Fraction for Dessert
   Next, we need to convert the portion of milk used for the dessert, which is ( 1 \frac{4}{5} ) liters, into an improper fraction for easier calculations:
   $$ 1 \frac{4}{5} = \frac{9}{5} $$

4. Subtract the Milk Used for Dessert
   Now, subtract the amount used for the dessert from the total amount of milk:
   $$ \text{Remaining Milk} = \frac{16}{5} - \frac{9}{5} $$

5. Perform the Subtraction
   Since the denominators are the same, we can directly subtract the numerators:
   $$ \text{Remaining Milk} = \frac{16 - 9}{5} = \frac{7}{5} $$

6. Convert to Mixed Number (if necessary)
   Finally, we can convert ( \frac{7}{5} ) to a mixed number if desired:
   $$ \frac{7}{5} = 1 \frac{2}{5} $$