Yuna hikes a trail that is $$ \frac{3}{5} $$ miles long. She hikes $$ \frac{5}{8} $$ of the trail before she rests. How many more niles does Yuna hike to reach the end of the trail?

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Yuna needs to hike a certain distance to complete the trail after her initial hike. Let's break down the problem step by step.

1. **Total Length of the Trail:**
   $$
   \frac{3}{5} \text{ miles}
   $$

2. **Distance Yuna Hiked Before Resting:**
   She hiked $$ \frac{5}{8} $$ of the trail:
   $$
   \frac{5}{8} \times \frac{3}{5} = \frac{15}{40} = \frac{3}{8} \text{ miles}
   $$

3. **Remaining Distance to Complete the Trail:**
   Subtract the distance she has already hiked from the total trail length:
   $$
   \frac{3}{5} - \frac{3}{8}
   $$
   
   To subtract these fractions, find a common denominator. The least common multiple of 5 and 8 is 40:
   $$
   \frac{3}{5} = \frac{24}{40} \quad \text{and} \quad \frac{3}{8} = \frac{15}{40}
   $$
   
   Now, subtract:
   $$
   \frac{24}{40} - \frac{15}{40} = \frac{9}{40} \text{ miles}
   $$

**Answer:** Yuna needs to hike an additional $$ \frac{9}{40} $$ miles to reach the end of the trail.
Yuna needs to hike $$ \frac{9}{40} $$ miles more to finish the trail.

Yuna hikes a trail that is miles long. She hikes of the trail before she rests. How many more
niles does Yuna hike to reach the end of the trail?

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Yuna hikes a trail that is miles long. She hikes of the trail before she rests. How many more niles does Yuna hike to reach the end of the trail?