Question 8 (40) Clara visits the aquarium while on vacation. The aquarium is $$ 2 \frac{1}{2} $$ miles from her hotel. She walks $$ \frac{1}{4} $$ mile to the bus stop, takes the bus for $$ 1 \frac{3}{4} $$ miles, and walks the rest of the way to the aquarium.

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To solve the problem, we need to determine how far Clara walks from the bus stop to the aquarium after taking the bus.

### Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers into improper fractions for easier calculations.

1. The distance from the hotel to the aquarium is:
   $$
   2 \frac{1}{2} = \frac{5}{2}
   $$

2. The distance she walks to the bus stop is:
   $$
   \frac{1}{4}
   $$

3. The distance she takes the bus is:
   $$
   1 \frac{3}{4} = \frac{7}{4}
   $$

### Step 2: Calculate Total Distance Traveled Before Walking to the Aquarium
Now, we will add the distances she walks to the bus stop and the distance she takes the bus.

$$
\text{Total distance before walking to the aquarium} = \frac{1}{4} + \frac{7}{4}
$$

### Step 3: Perform the Addition
To add these fractions, we need a common denominator. The common denominator for $$4$$ is $$4$$.

$$
\frac{1}{4} + \frac{7}{4} = \frac{1 + 7}{4} = \frac{8}{4} = 2
$$

### Step 4: Calculate the Remaining Distance to the Aquarium
Now, we subtract the total distance traveled before walking to the aquarium from the total distance from the hotel to the aquarium.

$$
\text{Distance to the aquarium} = \frac{5}{2} - 2
$$

### Step 5: Convert 2 to a Fraction
Convert $$2$$ to a fraction with a denominator of $$2$$:

$$
2 = \frac{4}{2}
$$

### Step 6: Perform the Subtraction
Now we can subtract:

$$
\frac{5}{2} - \frac{4}{2} = \frac{5 - 4}{2} = \frac{1}{2}
$$

### Conclusion
Clara walks $$\frac{1}{2}$$ mile from the bus stop to the aquarium.
Clara walks $$ \frac{1}{2} $$ mile from the bus stop to the aquarium.

Question 8 (40) Clara visits the aquarium while on vacation. The aquarium is \( 2 \frac{1}{2} \) miles from her hotel. She walks \( \frac{1}{4} \) mile to the bus stop, takes the bus for \( 1 \frac{3}{4} \) miles, and walks the rest of the way to the aquarium.

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