Which of the following fractions is the smallest?

Options

A. `11/7`
B. `11/10`
C. `11/6`
D. `11/9`

Answer

To determine which of the given fractions is the smallest, we can follow these steps:

### Step 1: Identify the fractions
The fractions given are:
- \( \frac{11}{7} \)
- \( \frac{11}{10} \)
- \( \frac{11}{6} \)
- \( \frac{11}{9} \)

### Step 2: Compare the denominators
Since all the fractions have the same numerator (11), we can compare the fractions by looking at their denominators. The larger the denominator, the smaller the fraction will be when the numerator is constant.

### Step 3: List the denominators
The denominators of the fractions are:
- 7
- 10
- 6
- 9

### Step 4: Identify the largest denominator
Among the denominators, the largest one is 10.

### Step 5: Determine the smallest fraction
Since the largest denominator is 10, the fraction with this denominator will be the smallest. Therefore, the smallest fraction is:
\[ \frac{11}{10} \]

### Conclusion
The smallest fraction among the given options is \( \frac{11}{10} \).

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