Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

start fraction, 5, divided by, 4, end fraction, times, start fraction, 5, divided by, 9, end fraction

45​×95​


To perform the operation \(\frac{5}{4} \times \frac{5}{9}\) and express the answer as a simplified fraction, follow these steps:

1. **Multiply the numerators**:
   \[
   5 \times 5 = 25
   \]

2. **Multiply the denominators**:
   \[
   4 \times 9 = 36
   \]

3. **Combine the results**:
   \[
   \frac{5}{4} \times \frac{5}{9} = \frac{25}{36}
   \]

4. **Simplify the fraction**:
   - The fraction \(\frac{25}{36}\) is already in its simplest form because the numerator (25) and the denominator (36) have no common factors other than 1.

The final answer is \(\frac{25}{36}\).

Would you like any details or have any questions? Here are five related questions you might consider:

1. How do you multiply fractions with different denominators?
2. Can you convert \(\frac{25}{36}\) to a decimal?
3. What is the process for dividing two fractions?
4. How do you determine if a fraction is in its simplest form?
5. What happens when you multiply two improper fractions?

**Tip:** Always check if the numerator and denominator have any common factors before concluding that a fraction is fully simplified!

Learn how to multiply fractions and simplify the result using the example 5/4 × 5/9. Follow step-by-step instructions to multiply the numerators and denominators, then simplify the fraction. Suitable for students in Grades 5-6.

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