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To solve this problem, we need to determine which of the answer choices represents the expression \( \frac{5}{11} \) divided by 11.

Let's break down the problem:

The expression \( \frac{5}{11} \div 11 \) can be rewritten as:

\[
\frac{5}{11} \times \frac{1}{11} = \frac{5 \times 1}{11 \times 11} = \frac{5}{121}
\]

Now let's analyze each of the answer choices:

- **a.** \( \frac{5}{11} \) and \( \frac{5}{11} \div 11 \)  
  This matches the calculation above, as \( \frac{5}{11} \div 11 = \frac{5}{121} \).

- **b.** \( \frac{11}{5} \) and \( 11 \div 5 \)  
  \( \frac{11}{5} \) and \( 11 \div 5 \) are not equivalent to \( \frac{5}{11} \).

- **c.** \( \frac{11}{5} \) and \( \frac{5}{11} \div 11 \)  
  While one of the expressions is correct, \( \frac{11}{5} \) is incorrect.

- **d.** \( \frac{5}{11} \) and \( 11 \div 5 \)  
  Again, \( 11 \div 5 \) is not equivalent to \( \frac{5}{11} \).

The correct answer is **a.** \( \frac{5}{11} \) and \( \frac{5}{11} \div 11 \).

Would you like more details on this? Here are 5 related questions you might find interesting:

1. How do you convert a division of fractions into multiplication?
2. What are the steps to simplify complex fraction expressions?
3. How do you solve expressions with mixed operations?
4. Why does division by a fraction result in multiplication by its reciprocal?
5. Can the order of operations affect the outcome in expressions involving fractions?

**Tip:** When dividing fractions, remember to multiply by the reciprocal of the divisor!

Which two expressions each represent 5/11 ÷ 11?

Learn how to solve 5/11 ÷ 11 by converting division into multiplication with the reciprocal. This guide walks through the process step-by-step, explaining key fraction and division concepts for students in Grade 6-8.

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