https://file.aiquickdraw.com/mathbot/file/1727085507822nih323sc.jpg

The expression in the image shows a fraction within a fraction. Specifically, it represents:

\[
\frac{5}{\frac{5}{6}}
\]

To simplify this complex fraction, you can follow these steps:

1. **Rewrite the complex fraction** as a division:
   \[
   \frac{5}{\frac{5}{6}} = 5 \div \frac{5}{6}
   \]

2. **Division by a fraction** is equivalent to multiplying by its reciprocal. So, we can multiply 5 by the reciprocal of \(\frac{5}{6}\), which is \(\frac{6}{5}\):
   \[
   5 \div \frac{5}{6} = 5 \times \frac{6}{5}
   \]

3. **Multiply the fractions**:
   \[
   5 \times \frac{6}{5} = \frac{5 \times 6}{5} = \frac{30}{5}
   \]

4. **Simplify the result**:
   \[
   \frac{30}{5} = 6
   \]

Therefore, the simplified value of the expression is:

\[
6
\]

Would you like more details on how I simplified this? Here are 5 related questions to consider:

1. What is the reciprocal of a fraction, and how is it used in division?
2. Can you simplify other complex fractions in a similar manner?
3. How does multiplying by a reciprocal differ from multiplying regular fractions?
4. How can you verify the result of complex fraction problems?
5. What is the importance of simplifying fractions before calculating?

**Tip:** Always remember that dividing by a fraction is the same as multiplying by its reciprocal.

Learn how to simplify the complex fraction 5 / (5 / 6). This detailed solution explains how to divide by fractions by multiplying by the reciprocal, simplifying the expression to a final value of 6. Suitable for students in Grades 5-7.

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