https://file.aiquickdraw.com/mathbot/file/1726254041792bn41mrbm.jpg

The equation shown in the image is:

\[
\frac{15}{x} = \frac{3}{4}
\]

To solve for \( x \), follow these steps:

1. **Cross-multiply** to eliminate the fractions:
   \[
   15 \cdot 4 = 3 \cdot x
   \]
   Simplifying both sides:
   \[
   60 = 3x
   \]

2. **Solve for \( x \)** by dividing both sides by 3:
   \[
   x = \frac{60}{3} = 20
   \]

Thus, the solution is:
\[
x = 20
\]

Would you like more details on this process or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you solve more complex rational equations with variables on both sides?
2. What happens when there are multiple terms with \(x\) in the denominator?
3. How can cross-multiplication be applied in inequalities?
4. Can cross-multiplication be used if the equation involves decimals instead of fractions?
5. What are the steps for solving equations with multiple fractions, not just one on each side?

**Tip:** Always double-check by plugging the solution back into the original equation to verify it is correct.

Learn how to solve the rational equation 15/x = 3/4 step-by-step. This algebraic problem introduces concepts of cross-multiplication and rational equations, suitable for students in Grades 6-8.

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