Yesterday, Grace drove 33 and one half
 miles. She used 1 and one fourth
 gallons of gasoline. What is the unit rate for miles per​ gallon?

To find the unit rate of miles per gallon, you divide the total number of miles driven by the number of gallons of gasoline used.

### Given:
- Miles driven: \( 33 \frac{1}{2} \) miles
- Gallons of gasoline used: \( 1 \frac{1}{4} \) gallons

### Step 1: Convert mixed numbers to improper fractions.
- \( 33 \frac{1}{2} = \frac{67}{2} \) miles
- \( 1 \frac{1}{4} = \frac{5}{4} \) gallons

### Step 2: Calculate miles per gallon.
\[
\text{Miles per gallon} = \frac{\frac{67}{2}}{\frac{5}{4}} = \frac{67}{2} \times \frac{4}{5} = \frac{268}{10} = 26.8 \text{ miles per gallon}
\]

So, the unit rate is **26.8 miles per gallon**.

Would you like more details on the calculation, or do you have any questions?

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Here are five related questions to explore further:
1. How do you convert mixed numbers into improper fractions?
2. How do you calculate a unit rate for other scenarios like speed (miles per hour)?
3. What is the inverse of the unit rate in this context (gallons per mile)?
4. How can rounding affect unit rate calculations?
5. How would the unit rate change if she drove more or used less gasoline?

**Tip**: Always double-check your fraction conversions when working with mixed numbers to avoid calculation errors.

Yesterday, Grace drove 33 and one half miles. She used 1 and one fourth gallons of gasoline. What is the unit rate for miles per​ gallon?

Learn how to calculate the unit rate for miles per gallon when Grace drives 33.5 miles using 1.25 gallons of gasoline. This problem explains the steps to convert mixed numbers into improper fractions and perform the division to find the unit rate, making it ideal for students in Grades 5-6.

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