https://file.aiquickdraw.com/mathbot/file/1730305275086a8gmr41a.jpg

The problem displayed in the image is:

\[
\frac{5}{6} \div \left(-\frac{1}{3}\right)
\]

To solve this, we can follow these steps:

1. Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore:

   \[
   \frac{5}{6} \div \left(-\frac{1}{3}\right) = \frac{5}{6} \times \left(-\frac{3}{1}\right)
   \]

2. Now, multiply the fractions:

   \[
   \frac{5 \times -3}{6 \times 1} = \frac{-15}{6}
   \]

3. Simplify \(\frac{-15}{6}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

   \[
   \frac{-15 \div 3}{6 \div 3} = \frac{-5}{2}
   \]

So, the answer is:

\[
\frac{5}{6} \div \left(-\frac{1}{3}\right) = -\frac{5}{2}
\]

Would you like further details or have any questions?

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### Related Questions:
1. How do you multiply and divide fractions with negative numbers?
2. What are the rules for dividing fractions?
3. How can you simplify fractions more effectively?
4. How would this problem change if both fractions were negative?
5. What is the reciprocal of a fraction and how is it used?

### Tip:
When dividing by a fraction, always remember to multiply by its reciprocal. This simplifies many fraction problems.

What is \( \frac{5}{6} \div \left(-\frac{1}{3}\right) \)?

Learn how to divide fractions involving negative numbers with the example \( \frac{5}{6} \div \left(-\frac{1}{3}\right) \). This solution demonstrates the use of reciprocals and multiplication, suitable for students in Grades 6-8.

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