Verifying Common Denominators in Technical Formulas

Internal Protocol for Rational Expression Addition

Why is the rational expression $\frac{16x + 35y}{84x^2y^2}$ considered to be in its simplest form?

What is the least common denominator (LCD) for the rational expressions $\frac{5}{12x^2y}$ and $\frac{4}{21xy^2}$?

To rewrite the expression $\frac{5}{12x^2y}$ with the common denominator $84x^2y^2$, you must multiply its numerator by $7y$.

Arrange the steps to add the rational expressions: $\frac{5}{12x^2y} + \frac{4}{21xy^2}$

To add the rational expressions $\frac{5}{12x^2y} + \frac{4}{21xy^2}$, you must first find the Least Common Denominator (LCD). How do you determine the numerical part of this LCD?

To find the Least Common Denominator (LCD) for the rational expressions $\frac{5}{12x^2y}$ and $\frac{4}{21xy^2}$, you must first identify the factors of each denominator. Match each description with its correct mathematical expression.

To find the LCD, include each variable factor raised to the _____ power.

What are the four steps to solve this problem?