To solve the expression \( \dfrac{5}{9} \div \dfrac{8}{5} \), follow these steps:

1. **Rewrite the division as multiplication** by multiplying the first fraction by the reciprocal of the second fraction:
   \[
   \dfrac{5}{9} \div \dfrac{8}{5} = \dfrac{5}{9} \times \dfrac{5}{8}
   \]

2. **Multiply the numerators** and **multiply the denominators**:
   \[
   \dfrac{5 \times 5}{9 \times 8} = \dfrac{25}{72}
   \]

Thus, the answer is \( \dfrac{25}{72} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you simplify the multiplication of two fractions?
2. What is the process to divide two fractions?
3. Can you express \( \dfrac{25}{72} \) as a decimal?
4. How do you check if two fractions are equivalent?
5. How do you convert an improper fraction to a mixed number?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the second fraction.

What is \( \dfrac{5}{9} \div \dfrac{8}{5} \)?

Learn how to divide fractions with a detailed example of \( \dfrac{5}{9} \div \dfrac{8}{5} \). This tutorial explains the use of reciprocals and multiplication of fractions with easy-to-follow steps. Ideal for students in Grades 5-7.

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