To simplify the expression \(\frac{\frac{9}{25}}{\frac{7}{4}}\), you can follow these steps:

1. **Rewrite the expression as a division of fractions**:
   \[
   \frac{\frac{9}{25}}{\frac{7}{4}} = \frac{9}{25} \div \frac{7}{4}
   \]

2. **Multiply by the reciprocal of the divisor**:
   \[
   \frac{9}{25} \times \frac{4}{7}
   \]

3. **Multiply the numerators and the denominators**:
   \[
   \frac{9 \times 4}{25 \times 7} = \frac{36}{175}
   \]

So, the simplified form of the expression is:

\[
\frac{\frac{9}{25}}{\frac{7}{4}} = \frac{36}{175}
\]

Would you like more details or have any questions? Here are some related topics you might find interesting:

1. How to multiply fractions.
2. Simplifying complex fractions.
3. Dividing fractions and the concept of reciprocals.
4. Converting improper fractions to mixed numbers.
5. How to simplify fractions by finding the greatest common divisor.

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

Learn how to simplify the fraction 9/25 divided by 7/4 step-by-step with a detailed solution. This problem covers key concepts in fractions, including division of fractions and multiplication by reciprocals. Suitable for students in Grades 6-8.

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