We are given the equation \( 3x = 4y \), and we are tasked with simplifying the expression:

\[
\frac{3x}{4y^2}
\]

First, let's use the fact that \( 3x = 4y \). So, we can replace \( 3x \) in the expression:

\[
\frac{3x}{4y^2} = \frac{4y}{4y^2}
\]

Now simplify the fraction:

\[
\frac{4y}{4y^2} = \frac{1}{y}
\]

Thus, the simplified form of the expression is:

\[
\frac{1}{y}
\]

Would you like more details or further explanation?

Here are 5 related questions you can try:
1. If \( 5x = 3y \), what is \( \frac{5x}{3y^2} \)?
2. Simplify \( \frac{4x}{6y^2} \) when \( 2x = 3y \).
3. Solve for \( y \) if \( \frac{1}{y} = 3 \).
4. What happens if \( 3x = 2y \)? How does this change the equation?
5. How do you solve \( 2x = 5y \) for \( x \) in terms of \( y \)?

**Tip:** When simplifying algebraic expressions, look for patterns or equations that allow you to substitute known values to reduce the expression.

This page covers the simplification of the algebraic expression 3x/4y^2, given that 3x = 4y. Learn how to substitute and simplify the fraction using basic algebra concepts. Suitable for students in Grades 7-9.

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