https://file.aiquickdraw.com/mathbot/file/1729268687702eh8dsc6l.jpg

The expression in the image is:

\[
\frac{4}{7} \div \frac{5}{7} \times \frac{9}{11}
\]

### Step 1: Solve the division
Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction:

\[
\frac{4}{7} \div \frac{5}{7} = \frac{4}{7} \times \frac{7}{5} = \frac{4 \times 7}{7 \times 5} = \frac{28}{35}
\]

Now, simplify \(\frac{28}{35}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 7:

\[
\frac{28}{35} = \frac{4}{5}
\]

### Step 2: Multiply the result by \(\frac{9}{11}\)

Now, multiply \(\frac{4}{5}\) by \(\frac{9}{11}\):

\[
\frac{4}{5} \times \frac{9}{11} = \frac{4 \times 9}{5 \times 11} = \frac{36}{55}
\]

Thus, the final result is:

\[
\boxed{\frac{36}{55}}
\]

Would you like further details or have any questions?

Here are some related questions you can explore:
1. How do you convert division of fractions into multiplication?
2. What is the process to simplify a fraction?
3. Why is it important to find the greatest common divisor when simplifying fractions?
4. Can you explain how to multiply fractions in detail?
5. How can you check your final result when solving fractional operations?

**Tip:** Always simplify fractions after multiplying or dividing them to get the most reduced form of the answer.

Simplify the expression: (4/7) ÷ (5/7) × (9/11)

Learn how to simplify the expression (4/7) ÷ (5/7) × (9/11) with a detailed step-by-step solution. This problem involves dividing and multiplying fractions and simplifying the final result. Suitable for students in Grades 6-8.

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