If it took fraction numerator 1 over denominator 5 end fraction gallon of paint to cover 272 square feet of wall in Tom's garage, how many more gallons of paint will he need to paint an additional 408 square feet of wall?

To determine how many more gallons of paint Tom will need, we follow these steps:

### **Step 1: Find the coverage per gallon**  
We know that **$ \frac{1}{5} $** gallon of paint covers **272 square feet**.  
Thus, the coverage per gallon is:  
\[
\frac{272}{\frac{1}{5}} = 272 \times 5 = 1360 \text{ square feet per gallon}
\]

### **Step 2: Find the amount of paint needed for 408 square feet**  
Since **1360 square feet** requires **1 gallon**, the amount of paint needed for **408 square feet** is:  
\[
\frac{408}{1360}
\]

Simplifying:
\[
\frac{408}{1360} = \frac{3}{10} = 0.3 \text{ gallons}
\]

### **Final Answer:**  
Tom will need **0.3 gallons** (or **$ \frac{3}{10} $** of a gallon) of additional paint.

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### **Related Questions:**  
1. If Tom wanted to apply a second coat of paint, how much total paint would he need?  
2. How many square feet can be painted with 2 gallons of this paint?  
3. If Tom buys 1 gallon of paint, how much extra will he have left after painting the additional 408 square feet?  
4. What fraction of a gallon is required to paint 1000 square feet with this paint?  
5. If the price of a gallon of paint is $25, how much will Tom spend on the additional paint?  

**Tip:** Always check unit consistency when solving problems involving rates, such as coverage per gallon.

If it took 1/5 gallon of paint to cover 272 square feet of wall in Tom's garage, how many more gallons of paint will he need to paint an additional 408 square feet of wall?

Learn how to determine the amount of additional paint needed to cover 408 square feet, given that 1/5 gallon covers 272 square feet. This step-by-step solution explores ratios, unit conversions, and fraction operations. Ideal for students in Grades 6-8.

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