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The question asks how much greater Latasha's elevation is than Juan's elevation, given their respective heights as fractions and negative values.

### Step 1: Extract the given values.
- Juan's elevation is \( -18 \frac{4}{5} \) feet.
  - Converting this to an improper fraction:
    \[
    -18 \frac{4}{5} = -\left( \frac{18 \times 5 + 4}{5} \right) = -\frac{90 + 4}{5} = -\frac{94}{5}
    \]
- Latasha's elevation is \( -1 \frac{1}{4} \) feet.
  - Converting this to an improper fraction:
    \[
    -1 \frac{1}{4} = -\left( \frac{1 \times 4 + 1}{4} \right) = -\frac{4 + 1}{4} = -\frac{5}{4}
    \]

### Step 2: Calculate the difference.
The difference between Latasha's and Juan's elevations is given by:
\[
\text{Difference} = \left( -\frac{5}{4} \right) - \left( -\frac{94}{5} \right)
\]
This simplifies to:
\[
\text{Difference} = -\frac{5}{4} + \frac{94}{5}
\]

### Step 3: Find the common denominator.
The least common denominator of 4 and 5 is 20, so convert both fractions:
\[
-\frac{5}{4} = -\frac{25}{20}, \quad \frac{94}{5} = \frac{376}{20}
\]
Now subtract:
\[
\frac{376}{20} - \frac{25}{20} = \frac{351}{20}
\]

### Step 4: Simplify the result.
\[
\frac{351}{20} = 17 \frac{11}{20}
\]

### Conclusion:
Latasha's elevation is \( 17 \frac{11}{20} \) feet greater than Juan's.

Would you like further clarification on any part? Here are some related questions to explore:

1. How do you convert a mixed number to an improper fraction?
2. What is the process for subtracting fractions with different denominators?
3. How can you estimate differences between negative numbers in a real-world context?
4. What does it mean when both elevations are negative?
5. Why is finding a common denominator necessary for fraction operations?

**Tip:** Always ensure that all fractions have the same denominator before adding or subtracting them!

Juan and Latasha are hiking on the same trail. Juan's elevation is -18 4/5 feet whereas Latasha's elevation is -1 1/4 feet. How much greater is Latasha's elevation than Juan's?

Explore how to compare elevations using fractions and mixed numbers in this problem. Juan's elevation is -18 4/5 feet, while Latasha's is -1 1/4 feet. Learn how to find the difference between their elevations using proper mathematical steps. Perfect for students in Grades 6-8.

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