To determine which of the given options contains like fractions, we need to follow these steps:
### Step-by-Step Solution:
1. **Understand Like Fractions**:
- Like fractions are fractions that have the same denominator.
2. **Examine the First Option**:
- The fractions are \( \frac{1}{5}, \frac{2}{5}, \frac{5}{3} \).
- Here, the denominators are 5, 5, and 3.
- Since \( \frac{1}{5} \) and \( \frac{2}{5} \) have the same denominator (5), but \( \frac{5}{3} \) has a different denominator (3), this option does not consist entirely of like fractions.
3. **Examine the Second Option**:
- The fractions are \( \frac{6}{16}, \frac{7}{8}, \frac{19}{8} \).
- The denominators are 16, 8, and 8.
- We can simplify \( \frac{6}{16} \) to \( \frac{3}{8} \) (by dividing both numerator and denominator by 2).
- Now we have \( \frac{3}{8}, \frac{7}{8}, \frac{19}{8} \) with all fractions having the same denominator (8).
- Therefore, this option consists of like fractions.
4. **Examine the Third Option**:
- The fractions are \( \frac{3}{2}, \frac{3}{7}, \frac{3}{5} \).
- The denominators are 2, 7, and 5.
- Since none of these fractions have the same denominator, this option does not consist of like fractions.
5. **Examine the Fourth Option**:
- The option states "none of these."
- Since we have already identified the second option as containing like fractions, this option is incorrect.
### Conclusion:
The only option that contains like fractions is the **second option**: \( \frac{6}{16}, \frac{7}{8}, \frac{19}{8} \).
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