Among the following fractions which one is the largest fraction?

Options

A. 21/22
B. 22/23
C. 23/24
D. 25/26

Answer

To determine which of the given fractions is the largest, we will compare the fractions step by step.

### Given Fractions:
1. A: \( \frac{21}{22} \)
2. B: \( \frac{22}{23} \)
3. C: \( \frac{23}{24} \)
4. D: \( \frac{25}{26} \)

### Step 1: Identify the fractions
We have four fractions to compare:
- \( \frac{21}{22} \)
- \( \frac{22}{23} \)
- \( \frac{23}{24} \)
- \( \frac{25}{26} \)

### Step 2: Compare the fractions
To compare these fractions, we can look at the difference between the numerator and the denominator for each fraction.

- For \( \frac{21}{22} \): The difference is \( 22 - 21 = 1 \)
- For \( \frac{22}{23} \): The difference is \( 23 - 22 = 1 \)
- For \( \frac{23}{24} \): The difference is \( 24 - 23 = 1 \)
- For \( \frac{25}{26} \): The difference is \( 26 - 25 = 1 \)

### Step 3: Analyze the numerators
Since the difference between the numerator and denominator is the same for all fractions (which is 1), we can compare the numerators directly:
- \( 21 < 22 < 23 < 25 \)

### Step 4: Determine the largest fraction
From our analysis, we can see that \( 25 \) is the largest numerator among the fractions. Therefore, the fraction with the largest numerator is:
- \( \frac{25}{26} \)

### Conclusion
Thus, the largest fraction among the given options is:
- **D: \( \frac{25}{26} \)**

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