https://file.aiquickdraw.com/mathbot/file/1725472970232e5fqcfyt.jpg

The expression provided in the image is:

\[
\frac{2}{7} \div \left(\frac{-1}{4}\right)
\]

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of \(\frac{-1}{4}\) is \(\frac{-4}{1}\).

So, the expression becomes:

\[
\frac{2}{7} \times \frac{-4}{1}
\]

Now, multiply the numerators and denominators:

\[
\frac{2 \times -4}{7 \times 1} = \frac{-8}{7}
\]

Thus, the final answer is:

\[
\frac{-8}{7}
\]

Would you like more details or have any other questions?

Here are five related questions you might find interesting:
1. How do you multiply two fractions?
2. What is the process for finding the reciprocal of a fraction?
3. How do you simplify complex fractions?
4. What are some practical applications of dividing fractions?
5. How would you solve a problem where both fractions are negative?

**Tip:** Always remember that dividing by a fraction is the same as multiplying by its reciprocal!

Learn how to divide fractions by multiplying by the reciprocal. This example demonstrates how to solve 2/7 ÷ (-1/4), with a detailed breakdown of each step, suitable for students in Grades 6-8.

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