https://file.aiquickdraw.com/mathbot/file/1725886649149uha60ssk.jpg

The image shows the mathematical expression:

\[
\frac{5}{7} \div \frac{8}{9}
\]

To solve this division of fractions, we multiply by the reciprocal of the second fraction. That is:

\[
\frac{5}{7} \div \frac{8}{9} = \frac{5}{7} \times \frac{9}{8}
\]

Now, multiply the numerators and the denominators:

\[
\frac{5 \times 9}{7 \times 8} = \frac{45}{56}
\]

So, the result of \(\frac{5}{7} \div \frac{8}{9}\) is:

\[
\frac{45}{56}
\]

Let me know if you'd like a detailed explanation or have any questions.

Here are 5 related questions you might be interested in:
1. How do you multiply two fractions?
2. What is the reciprocal of a fraction?
3. How do you simplify a complex fraction?
4. How can you convert an improper fraction to a mixed number?
5. What are the steps to solve a word problem involving fraction division?

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

Learn how to solve the division of fractions problem 5/7 ÷ 8/9 step by step. This tutorial covers fraction division by multiplying by the reciprocal and is suitable for students in Grades 5-7.

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