The expression you've given is:

\[
\frac{7}{6x} + \frac{3}{4x^2}
\]

This expression consists of two rational terms:

1. \(\frac{7}{6x}\) is a term where the variable \(x\) is in the denominator.
2. \(\frac{3}{4x^2}\) is another term with \(x^2\) in the denominator.

Would you like to simplify this expression further, or explore it in any other way?

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Here are 5 related questions:

1. How would you find a common denominator to combine the terms \(\frac{7}{6x} + \frac{3}{4x^2}\)?
2. What is the derivative of \(\frac{7}{6x} + \frac{3}{4x^2}\) with respect to \(x\)?
3. How would the expression change if \(x = 1\)?
4. What is the integral of the expression \(\frac{7}{6x} + \frac{3}{4x^2}\) with respect to \(x\)?
5. How does the expression behave as \(x\) approaches 0?

**Tip:** When dealing with expressions that have variables in the denominator, it is important to consider the restrictions on the variable \(x\) to avoid division by zero.

Learn how to simplify the rational expression 7/(6x) + 3/(4x^2) step-by-step. Understand the concept of rational expressions with variables in the denominator. Suitable for high school students and anyone interested in algebraic manipulation.

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