https://r2.erweima.ai/mathbot/image/1725763464194i4tx1wfo.jpg

It seems that the text extraction from the image did not work as expected. I'll interpret the equation manually based on the visual content:

The expression appears to be:

\[
\frac{9 \div \left( \frac{1}{3} \times \frac{4}{5} \right)}{6 \div \frac{1}{2}} = ?
\]

Let's break it down:

### Numerator:
\[
9 \div \left( \frac{1}{3} \times \frac{4}{5} \right)
\]

First, simplify \( \frac{1}{3} \times \frac{4}{5} = \frac{4}{15} \), and then calculate:

\[
9 \div \frac{4}{15} = 9 \times \frac{15}{4} = \frac{135}{4} = 33.75
\]

### Denominator:
\[
6 \div \frac{1}{2} = 6 \times 2 = 12
\]

### Final step:
Now, divide the numerator by the denominator:

\[
\frac{33.75}{12} = 2.8125
\]

The result of the expression is \( 2.8125 \).

Would you like more details or have any questions? Here are some related problems to explore:

1. How do you multiply and divide fractions?
2. What is the order of operations in arithmetic expressions?
3. How can you convert a mixed number into an improper fraction?
4. What are some common mistakes when dividing fractions?
5. How would you handle this problem if variables were involved?

**Tip:** When dividing by a fraction, it's equivalent to multiplying by its reciprocal!

Simplify the expression: (9 ÷ (1/3 × 4/5)) ÷ (6 ÷ 1/2).

Learn how to simplify the complex fraction expression (9 ÷ (1/3 × 4/5)) ÷ (6 ÷ 1/2) step-by-step. This problem involves concepts such as fractions, multiplication, and division, suitable for Grades 5-7.

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