If a car averages 12 and one eighth
miles to a gallon of​ gas, how many miles can it travel on 14 gallons of​ gas?

To determine how many miles the car can travel on 14 gallons of gas, given that it averages \( 12 \frac{1}{8} \) miles per gallon, follow these steps:

1. **Convert the mixed number to an improper fraction or a decimal:**

   \[
   12 \frac{1}{8} = 12 + \frac{1}{8} = \frac{96}{8} + \frac{1}{8} = \frac{97}{8}
   \]

   So, \( 12 \frac{1}{8} \) miles per gallon is equivalent to \( \frac{97}{8} \) miles per gallon.

2. **Multiply the miles per gallon by the number of gallons:**

   \[
   \text{Miles} = \frac{97}{8} \times 14 = \frac{97 \times 14}{8}
   \]

   \[
   \text{Miles} = \frac{1358}{8} = 169.75
   \]

So, the car can travel **169.75 miles** on 14 gallons of gas.

Would you like further details or have any questions?

Here are five related questions you might find helpful:
1. How would the result change if the car averaged 15 miles per gallon instead?
2. How many gallons of gas would the car need to travel 200 miles?
3. How can you express the distance in fractional form instead of a decimal?
4. What is the average fuel consumption rate in kilometers per liter, if 1 mile ≈ 1.609 km and 1 gallon ≈ 3.785 liters?
5. How does fuel efficiency change based on driving conditions?

**Tip:** When working with mixed numbers, it's often useful to convert them into improper fractions or decimals for easier calculations.

If a car averages 12 and one eighth miles to a gallon of gas, how many miles can it travel on 14 gallons of gas?

Find out how to calculate the distance a car can travel on 14 gallons of gas when it averages 12 and one-eighth miles per gallon. This problem uses concepts such as mixed numbers, improper fractions, and multiplication of fractions. Ideal for students in Grades 5-7.

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