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The problem describes two routes from a soda fountain to a zoo in a recreational park. The lengths of the two routes are as follows:

1. **Direct Route**: \( \frac{5}{4} \) km
2. **Alternative Route**: Consists of two segments:
   - From the soda fountain to the theater: \( \frac{5}{8} \) km
   - From the theater to the zoo: \( \frac{5}{6} \) km

### Step-by-Step Solution

1. **Calculate the Total Length of the Alternative Route**:
   \[
   \text{Total length} = \frac{5}{8} + \frac{5}{6}
   \]
   To add these fractions, we need a common denominator.

   - The least common multiple (LCM)

En un parque recreativo hay dos maneras de ir de la fuente de sodas al zoológico. El camino directo mide 5/4 km; el otro camino tiene 5/8 km de la fuente de sodas al teatro y 5/6 km de éste al zoológico. ¿Cuál es la diferencia entre las longitudes de los dos caminos?

Calculate the difference between two routes in a recreational park using fraction addition and subtraction. The direct route is 5/4 km, while the alternative route involves two segments: 5/8 km and 5/6 km. Suitable for students in Grades 5-7.

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