A pair of like fractions is

Options

A. `3/4, 3/5`
B. `3/7, 16/7`
C. `5/6, 6/5`
D. `2/3, 2/5`

Answer

To determine a pair of like fractions, we need to identify fractions that have the same denominator. Let's go through the options step by step.

### Step-by-Step Solution:

1. **Understand the Definition of Like Fractions**:
Like fractions are fractions that have the same denominator.

2. **Evaluate the First Option**:
- **Fractions**: \( \frac{3}{4} \) and \( \frac{3}{5} \)
- **Denominators**: 4 and 5
- Since the denominators are different (4 ≠ 5), this option is **not** a pair of like fractions.

3. **Evaluate the Second Option**:
- **Fractions**: \( \frac{3}{7} \) and \( \frac{16}{7} \)
- **Denominators**: 7 and 7
- Since both fractions have the same denominator (7 = 7), this option **is** a pair of like fractions.

4. **Evaluate the Third Option**:
- **Fractions**: \( \frac{5}{6} \) and \( \frac{6}{5} \)
- **Denominators**: 6 and 5
- Since the denominators are different (6 ≠ 5), this option is **not** a pair of like fractions.

5. **Evaluate the Fourth Option**:
- **Fractions**: \( \frac{2}{3} \) and \( \frac{2}{5} \)
- **Denominators**: 3 and 5
- Since the denominators are different (3 ≠ 5), this option is **not** a pair of like fractions.

### Conclusion:
The only option that represents a pair of like fractions is \( \frac{3}{7} \) and \( \frac{16}{7} \).