Which of the following fraction is the least?

Options

A. `12/13`
B. `14/19`
C. `17/21`
D. `25/26`

Answer

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

### Step 1: List the fractions
The fractions given are:
1. \( \frac{12}{13} \)
2. \( \frac{14}{19} \)
3. \( \frac{17}{21} \)
4. \( \frac{25}{26} \)

### Step 2: Convert each fraction to decimal form
To compare the fractions easily, we can convert each fraction to its decimal equivalent.

1. **For \( \frac{12}{13} \)**:
\[ \frac{12}{13} \approx 0.923 \]

2. **For \( \frac{14}{19} \)**:
\[ \frac{14}{19} \approx 0.736 \]

3. **For \( \frac{17}{21} \)**:
\[ \frac{17}{21} \approx 0.810 \]

4. **For \( \frac{25}{26} \)**:
\[ \frac{25}{26} \approx 0.962 \]

### Step 3: Compare the decimal values
Now we have the approximate decimal values:
- \( \frac{12}{13} \approx 0.923 \)
- \( \frac{14}{19} \approx 0.736 \)
- \( \frac{17}{21} \approx 0.810 \)
- \( \frac{25}{26} \approx 0.962 \)

### Step 4: Identify the least value
From the decimal values, we can see that:
- \( 0.736 \) (from \( \frac{14}{19} \)) is the smallest.

### Conclusion
Thus, the least fraction among the given options is:
\[ \frac{14}{19} \]
So, the correct answer is **Option 2**.

---