the fuel tank of Jade’s car is filled with 11 ¾ gallons of gasoline. If Jade’s car uses     1 ¼  gallons of gasoline to get to work. How many round trips can she make using the full gas tank?

To determine how many round trips Jade can make using a full gas tank, we need to calculate how much gasoline is required for one round trip and then see how many such trips can fit into the total amount of gasoline available.

### Step 1: Calculate the gasoline required for one round trip
A round trip consists of going to work and returning, so it will require:

\[
\text{Gasoline per round trip} = 1 \frac{1}{4} + 1 \frac{1}{4} = 2 \times 1 \frac{1}{4} = 2 \frac{1}{2} \text{ gallons}
\]

### Step 2: Determine the total number of round trips possible
Jade has 11 \(\frac{3}{4}\) gallons of gasoline. To find out how many round trips she can make, divide the total amount of gasoline by the amount needed for one round trip:

\[
\text{Number of round trips} = \frac{11 \frac{3}{4}}{2 \frac{1}{2}}
\]

First, convert the mixed numbers to improper fractions:

- \(11 \frac{3}{4} = \frac{47}{4}\) gallons
- \(2 \frac{1}{2} = \frac{5}{2}\) gallons

Now, divide the fractions:

\[
\text{Number of round trips} = \frac{\frac{47}{4}}{\frac{5}{2}} = \frac{47}{4} \times \frac{2}{5} = \frac{94}{20} = \frac{47}{10} = 4.7
\]

Jade can make **4 full round trips** with a bit of gasoline left over. The leftover gas would not be enough for a complete additional round trip.

Would you like further clarification or have any additional questions?

Here are some related questions:
1. How much gasoline would be left after Jade makes 4 round trips?
2. If Jade’s car used 1.5 gallons of gasoline to get to work, how many round trips could she make?
3. How far can Jade travel in one direction if she only wants to use half a tank of gas?
4. How much gasoline would be needed for 6 round trips?
5. What if Jade’s car fuel tank capacity is 15 gallons? How many round trips could she make then?

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

Explore how to calculate the number of round trips Jade can make with her car's gas tank filled with 11 ¾ gallons. Understand the division of mixed numbers and fractions to determine the solution. Suitable for Grades 4-6 students.

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