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. The fractions provided are:

1. \( \frac{12}{13} \)
2. \( \frac{14}{19} \)
3. \( \frac{17}{21} \)
4. \( \frac{25}{26} \)

### Step 1: Convert each fraction to decimal form

1. **For \( \frac{12}{13} \)**:
- Divide 12 by 13.
- \( 12 \div 13 \approx 0.923 \)

2. **For \( \frac{14}{19} \)**:
- Divide 14 by 19.
- \( 14 \div 19 \approx 0.736 \)

3. **For \( \frac{17}{21} \)**:
- Divide 17 by 21.
- \( 17 \div 21 \approx 0.810 \)

4. **For \( \frac{25}{26} \)**:
- Divide 25 by 26.
- \( 25 \div 26 \approx 0.962 \)

### Step 2: Compare the decimal values

Now we have the decimal approximations for each fraction:

- \( \frac{12}{13} \approx 0.923 \)
- \( \frac{14}{19} \approx 0.736 \)
- \( \frac{17}{21} \approx 0.810 \)
- \( \frac{25}{26} \approx 0.962 \)

### Step 3: Identify the least value

Among the decimal values, the smallest value is \( 0.736 \), which corresponds to the fraction \( \frac{14}{19} \).

### Conclusion

Thus, the least fraction among the given options is \( \frac{14}{19} \).

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