https://file.aiquickdraw.com/mathbot/file/17261446135018gdmc7kx.jpg

The expression shown in the image is:

\[
\frac{4}{5} \div \frac{5}{7}
\]

To solve this, we need to divide two fractions. Dividing by a fraction is equivalent to multiplying by its reciprocal. Thus, the expression becomes:

\[
\frac{4}{5} \times \frac{7}{5}
\]

Now, multiply the numerators and the denominators:

\[
\frac{4 \times 7}{5 \times 5} = \frac{28}{25}
\]

So, the result is:

\[
\frac{28}{25}
\]

or, as a mixed number:

\[
1 \frac{3}{25}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you multiply fractions?
2. What is the reciprocal of a fraction, and how is it used?
3. Can you convert \(\frac{28}{25}\) into a decimal?
4. How do you solve expressions involving mixed numbers?
5. What are some practical applications of dividing fractions?

#### Tip:
Always remember to simplify your fractions whenever possible to make the result easier to interpret.

Learn how to solve the division of fractions problem 4/5 ÷ 5/7. This detailed explanation walks through the concept of dividing fractions using reciprocals, multiplying numerators and denominators, and simplifying the final result. Suitable for students in Grades 6-8.

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