The smallest of the fractions `(6)/(11), (7)/(11), (8)/(11), (9)/(11) is

Options

A. `(6)/(11)`
B. `(7)/(11)
C. `(8)/(11)`
D. `(9)/(11)`

Answer

To find the smallest fraction among the given fractions \( \frac{6}{11}, \frac{7}{11}, \frac{8}{11}, \frac{9}{11} \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Fractions**: We have four fractions:
\[ \frac{6}{11}, \frac{7}{11}, \frac{8}{11}, \frac{9}{11} \]

2. **Common Denominator**: Since all fractions have the same denominator (11), we can directly compare the numerators to determine which fraction is the smallest.

3. **Compare the Numerators**: The numerators of the fractions are:
- For \( \frac{6}{11} \), the numerator is 6.
- For \( \frac{7}{11} \), the numerator is 7.
- For \( \frac{8}{11} \), the numerator is 8.
- For \( \frac{9}{11} \), the numerator is 9.

4. **Identify the Smallest Numerator**: Among the numerators (6, 7, 8, 9), the smallest number is 6.

5. **Conclusion**: Therefore, the smallest fraction is:
\[ \frac{6}{11} \]

### Final Answer:
The smallest of the fractions \( \frac{6}{11}, \frac{7}{11}, \frac{8}{11}, \frac{9}{11} \) is \( \frac{6}{11} \).