https://file.aiquickdraw.com/mathbot/file/1726400652390kfnvf1za.jpg

The equation shown in the image is:

\[
\frac{x}{5} = \frac{8}{24}
\]

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

\[
x \cdot 24 = 8 \cdot 5
\]

This simplifies to:

\[
24x = 40
\]

Now, solve for \(x\) by dividing both sides by 24:

\[
x = \frac{40}{24}
\]

Simplify the fraction:

\[
x = \frac{5}{3}
\]

Thus, the value of \(x\) is \( \frac{5}{3} \), or approximately 1.67.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you simplify fractions like \( \frac{40}{24} \)?
2. What does cross-multiplication mean, and when is it used?
3. How do you convert fractions to decimal form?
4. How can you check if your answer is correct after solving an equation?
5. What are the steps to solve for a variable in a proportion?

**Tip**: When simplifying fractions, always look for the greatest common divisor (GCD) to reduce them to their simplest form.

Learn how to solve the proportion x/5 = 8/24 using cross multiplication. The problem involves simplifying fractions and solving for x. Suitable for students in Grades 6-8.

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