How many pounds of a liquid are contained in a barrel if the barrel holds 18 3/5 gallons, and a gallon of the liquid weighs 5 2/3 lb?

To find out how many pounds of liquid are contained in a barrel, we'll multiply the volume of the liquid in gallons by the weight of each gallon.

We are given:

- The barrel holds **18 3/5 gallons**.
- A gallon of the liquid weighs **5 2/3 pounds**.

### Step 1: Convert the mixed numbers to improper fractions.
For 18 3/5 gallons:
\[
18 \frac{3}{5} = \frac{18 \times 5 + 3}{5} = \frac{90 + 3}{5} = \frac{93}{5}
\]

For 5 2/3 pounds per gallon:
\[
5 \frac{2}{3} = \frac{5 \times 3 + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}
\]

### Step 2: Multiply the two improper fractions.
Now, we multiply the volume of the liquid by the weight of each gallon:
\[
\frac{93}{5} \times \frac{17}{3} = \frac{93 \times 17}{5 \times 3} = \frac{1581}{15}
\]

### Step 3: Simplify the fraction.
We can now divide 1581 by 15 to get the total weight:
\[
1581 \div 15 = 105.4
\]

### Final Answer:
The total weight of the liquid in the barrel is **105.4 pounds**.

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. How much would 10 gallons of the same liquid weigh?
2. If the liquid weighed 7 1/4 pounds per gallon, what would the total weight be for 18 3/5 gallons?
3. How many gallons of a liquid weighing 4 1/2 pounds per gallon would fill a barrel weighing 150 pounds?
4. What is the weight of a 30-gallon barrel if the liquid weighs 6 pounds per gallon?
5. How many pounds would 20 gallons of liquid weighing 8 pounds per gallon be?

**Tip**: Always convert mixed numbers into improper fractions before performing multiplication.

Find out how many pounds of liquid are in a barrel holding 18 3/5 gallons, where each gallon weighs 5 2/3 pounds. This problem involves multiplying mixed numbers and converting them to improper fractions. Ideal for Grades 6-8.

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