https://r2.erweima.ai/mathbot/image/1726502670049y66rbjzx.jpg

The equation shown in the image is:

\[
\frac{8}{\square} = \frac{-2}{3}
\]

We need to find the value of the box (\(\square\)).

To solve for \(\square\), we can cross-multiply:

\[
8 \times 3 = \square \times (-2)
\]

This simplifies to:

\[
24 = -2 \times \square
\]

Now, divide both sides by \(-2\) to isolate \(\square\):

\[
\square = \frac{24}{-2} = -12
\]

So, the value of \(\square\) is \(-12\).

Would you like more details on the steps or have any other questions? 

Here are some related questions to explore:
1. How do we check if the solution for \(\square = -12\) is correct?
2. What happens if the numerator is negative in a fraction equation?
3. Can cross-multiplication be used in all cases of fractions?
4. How do negative signs affect the result when solving equations?
5. How would the solution change if both sides of the equation had different fractions?

**Tip:** When solving fraction equations, cross-multiplication is a powerful method for simplifying and solving for unknowns!

Solve the equation 8/□ = -2/3 to find the value of □.

Learn how to solve the algebraic equation 8/x = -2/3 using cross-multiplication. This step-by-step guide covers key concepts like fractions, equation solving, and the multiplication property of equality. Suitable for students in Grades 6-8.

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