Which of the following are like fractions?

Options

A. `3/5,3/7,3/(11),3/(16)`
B. `5/(11),7/(11),(15)/(11),2/(11)`
C. `2/3,3/4,4/5,6/7`
D. None of these

Answer

To determine which of the given fractions are 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. For example, \( \frac{1}{4} \) and \( \frac{3}{4} \) are like fractions because both have a denominator of 4.

2. **Analyze the Given Options**:
- We have four different sets of fractions to analyze. Let's denote them as:
- Option A: \( \frac{3}{5}, \frac{3}{7}, \frac{3}{11}, \frac{3}{16} \)
- Option B: \( \frac{5}{11}, \frac{7}{11}, \frac{15}{11}, \frac{2}{11} \)
- Option C: \( \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{6}{1} \)
- Option D: None of these

3. **Check Each Option for Like Fractions**:
- **Option A**:
- Denominators are 5, 7, 11, and 16.
- Since they are not the same, these are not like fractions.
- **Option B**:
- Denominators are all 11 (i.e., \( \frac{5}{11}, \frac{7}{11}, \frac{15}{11}, \frac{2}{11} \)).
- Since they all share the same denominator, these are like fractions.
- **Option C**:
- Denominators are 3, 4, 5, and 1.
- Since they are not the same, these are not like fractions.
- **Option D**:
- This option states "none of these," but we have already identified Option B as like fractions.

4. **Conclusion**:
- The only option that contains like fractions is Option B: \( \frac{5}{11}, \frac{7}{11}, \frac{15}{11}, \frac{2}{11} \).

### Final Answer:
- The correct option is **Option B**.