Evaluate the following expressions. Simplify all fractions.
`(1)/(6)div (1)/(11)=`

Answer

To evaluate the expression \( \frac{1}{6} \div \frac{1}{11} \), we can follow these steps:

### Step 1: Write the division of fractions
The expression \( \frac{1}{6} \div \frac{1}{11} \) can be rewritten using the property of division of fractions. This property states that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as:
\[ \frac{1}{6} \div \frac{1}{11} = \frac{1}{6} \times \frac{11}{1} \]

### Step 2: Multiply the fractions
Now, we multiply the fractions:
\[ \frac{1 \times 11}{6 \times 1} = \frac{11}{6} \]

### Step 3: Simplify the fraction
The fraction \( \frac{11}{6} \) is already in its simplest form since 11 and 6 have no common factors other than 1.

### Final Answer
Thus, the final answer is:
\[ \frac{11}{6} \]

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