**When we want to multiply or divide algebraic fractions, we will use the same tools that we use for the multiplication or division of common fractions with some small differences.**

Steps to carry out for the multiplication of algebraic fractions $1$:

- Let's try to extract the common factor.

This can be the variable or any free number. - If this is not enough, we will factorize with short multiplication formulas or with trinomials.
- Let's find the solution set.
- How is the solution set found?

We will make all the denominators we have equal to $0$ and find the solution.

The solution set will be $X$: different from what causes our denominator to equal zero.

- How is the solution set found?
- Let's simplify the fractions with determination.
- Multiply numerator by numerator and denominator by denominator as in any fraction.