If a car averages 

15 and one sixth1516 

miles to a gallon of​ gas, how many miles can it travel on 

1414 

gallons of​ gas?

Question content area bottom

Part 1

The car can travel 

enter your response here 

miles.

​(Type a whole​ number, proper​ fraction, or mixed​ number.)

To find out how many miles the car can travel on 14 1/4 gallons of gas, given that it averages 15 1/6 miles per gallon, you need to follow these steps:

1. **Convert the mixed fractions to improper fractions**:

   - For the mileage per gallon:  
     \[
     15 \frac{1}{6} = \frac{15 \times 6 + 1}{6} = \frac{91}{6} \text{ miles per gallon}
     \]

   - For the amount of gas:  
     \[
     14 \frac{1}{4} = \frac{14 \times 4 + 1}{4} = \frac{57}{4} \text{ gallons}
     \]

2. **Multiply the two fractions** to find the total distance:
   \[
   \text{Total distance} = \frac{91}{6} \times \frac{57}{4} = \frac{91 \times 57}{6 \times 4} = \frac{5187}{24} \text{ miles}
   \]

3. **Simplify the fraction**:
   \[
   \frac{5187}{24} = 216 \frac{3}{24} = 216 \frac{1}{8} \text{ miles}
   \]

So, **the car can travel** 216 1/8 **miles**.

Would you like more details or have any questions?

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Here are 5 related questions for further exploration:

1. How far could the car travel on 20 gallons of gas?
2. What would be the distance covered with 10 gallons of gas if the car averaged 12 miles per gallon?
3. How would the total distance change if the car averaged 18 miles per gallon?
4. How would you calculate the number of gallons needed for a trip of 500 miles?
5. What is the difference in distance if the car averages 15 1/6 miles per gallon instead of 20 miles per gallon?

**Tip**: When dealing with mixed numbers, converting them to improper fractions simplifies multiplication.

Discover how to calculate the distance a car can travel on 14 1/4 gallons of gas, averaging 15 1/6 miles per gallon. Follow a step-by-step solution involving conversion of mixed fractions to improper fractions and multiplication to find the total distance.

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