Which of the following are like fractions?

Options

A. `(2)/(3), (3)/(4), (4)/(5), (5)/(6)`
B. `(2)/(5), (2)/(7), (2)/(9), (2)/(11)`
C. `(1)/(8), (3)/(8), (5)/(8),(7)/(8)`
D. none of these

Answer

To determine which of the given options contains like fractions, we need to identify fractions that have the same denominator. Let's analyze each option step by step.

### Step 1: Understand Like Fractions
Like fractions are fractions that have the same denominator but different numerators. For example, \( \frac{2}{5} \) and \( \frac{3}{5} \) are like fractions because they both have a denominator of 5.

### Step 2: Analyze Each Option

**Option 1: \( \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6} \)**
- Denominators: 3, 4, 5, 6 (all different)
- Conclusion: Not like fractions.

**Option 2: \( \frac{2}{5}, \frac{2}{7}, \frac{2}{9}, \frac{2}{11} \)**
- Denominators: 5, 7, 9, 11 (all different)
- Conclusion: Not like fractions.

**Option 3: \( \frac{1}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8} \)**
- Denominators: 8, 8, 8, 8 (all the same)
- Conclusion: These are like fractions.

**Option 4: None of these**
- Conclusion: This option is incorrect since we have found like fractions in Option 3.

### Final Conclusion
The only option that contains like fractions is **Option 3: \( \frac{1}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8} \)**.

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