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The problem in your image asks to give the reciprocal of the number \(-\frac{2}{3}\).

### Solution:
The reciprocal of a fraction \(\frac{a}{b}\) is simply flipping the numerator and denominator, which becomes \(\frac{b}{a}\). For \(-\frac{2}{3}\), its reciprocal is \(-\frac{3}{2}\) because:

\[
\text{Reciprocal of } -\frac{2}{3} = -\frac{3}{2}
\]

So the answer is \(-\frac{3}{2}\).

Would you like more details or have any questions?

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Here are 5 related questions for you:
1. What is the reciprocal of \(\frac{5}{4}\)?
2. If you take the reciprocal of \(-\frac{7}{8}\), what do you get?
3. How do you find the reciprocal of a mixed number, such as \(2 \frac{1}{3}\)?
4. Why is the reciprocal of zero undefined?
5. Can the reciprocal of a number ever be greater than the original number?

### Tip:
Remember, the reciprocal of a positive fraction is still positive, while the reciprocal of a negative fraction remains negative!

Learn how to find the reciprocal of the fraction -2/3. This arithmetic problem explains key concepts like fractions and reciprocals, suitable for students in Grades 5-7.

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