https://file.aiquickdraw.com/mathbot/file/1729134586963x5wecevv.jpg

Let's break down the problem based on the image:

1. The **blue car** travels \( 45 \frac{1}{2} \) miles on \( \frac{1}{4} \) gallons of gasoline.
2. The **red car** travels \( 22 \frac{2}{5} \) miles on \( \frac{4}{5} \) gallons of gasoline.

### Step 1: Convert mixed fractions to improper fractions
- For the **blue car**: 
  \[
  45 \frac{1}{2} = \frac{91}{2} \text{ miles}
  \]
- For the **red car**: 
  \[
  22 \frac{2}{5} = \frac{112}{5} \text{ miles}
  \]

### Step 2: Calculate the unit rate (miles per gallon) for each car
The unit rate is calculated as the number of miles traveled per gallon of gasoline.

#### Blue car:
\[
\text{Unit rate} = \frac{\frac{91}{2} \text{ miles}}{\frac{1}{4} \text{ gallons}} = \frac{91}{2} \times \frac{4}{1} = \frac{364}{2} = 182 \text{ miles per gallon}
\]

#### Red car:
\[
\text{Unit rate} = \frac{\frac{112}{5} \text{ miles}}{\frac{4}{5} \text{ gallons}} = \frac{112}{5} \times \frac{5}{4} = \frac{112}{4} = 28 \text{ miles per gallon}
\]

### Step 3: Compare the unit rates
- The **blue car** can travel 182 miles per gallon.
- The **red car** can travel 28 miles per gallon.

Therefore, the blue car can travel a greater distance on 1 gallon of gasoline.

Would you like further details on any part of this solution? Here are some related questions:

1. What is the difference in distance each car can travel with 1 gallon of gas?
2. How do mixed numbers get converted into improper fractions?
3. Can we calculate how much gasoline the blue car would need to travel 1 mile?
4. Why does the blue car have a much higher fuel efficiency than the red car?
5. How do these calculations relate to real-world fuel economy measurements?

**Tip:** When converting mixed numbers to improper fractions, remember to multiply the whole number by the denominator, then add the numerator.

You are running a fuel economy study. One of the cars you find is blue. It can travel 45 1/2 miles on 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

In this problem, calculate the miles per gallon for two cars: a blue car that travels 45 1/2 miles on 1/4 gallons and a red car that travels 22 2/5 miles on 4/5 gallons. Learn how to convert mixed fractions and find the unit rate for each car.

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