https://file.aiquickdraw.com/mathbot/file/1725459306196ulljj8vt.jpg

The image shows the problem:

\[
\frac{5}{9} \div \frac{3}{5}
\]

To solve this, we will perform the division of two fractions by multiplying the first fraction by the reciprocal of the second fraction.

\[
\frac{5}{9} \times \frac{5}{3}
\]

Now, multiply the numerators and the denominators:

\[
\frac{5 \times 5}{9 \times 3} = \frac{25}{27}
\]

The fraction \(\frac{25}{27}\) is already in its simplest form since 25 and 27 have no common factors other than 1.

**Final Answer:**

\[
\frac{25}{27}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you find the reciprocal of a fraction?
2. What are the rules for dividing fractions?
3. How can you check if a fraction is in its simplest form?
4. What are the steps to convert an improper fraction to a mixed number?
5. How do you multiply mixed numbers?

### Tip:
Always remember to simplify your answer at the end by finding the greatest common divisor (GCD) of the numerator and denominator!

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. The operation is 5/9 divided by 3/5.

Learn how to simplify the fraction 5/9 divided by 3/5 with a step-by-step solution. This problem covers the division of fractions and simplifying them to their lowest terms, suitable for students in Grades 5-7.

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