# How do you multiply and divide rational equations?

Category:
business and finance
interest rates

To

**multiply rational expressions**, first factor all numerators and denominators and cancel any factors you can. Then**multiply**what you have left. To**divide**, simply flip the divisor (the term you're**dividing**by) and then**multiply**. In math-speak, it's called**multiplying**by the reciprocal of the divisor.

Moreover, how do you multiply and divide rationals?

To **multiply rational** expressions, first factor all numerators and denominators and cancel any factors you can. Then **multiply** what you have left. To **divide**, simply flip the divisor (the term you're **dividing** by) and then **multiply**. In math-speak, it's called **multiplying** by the reciprocal of the divisor.

**The steps to solve a rational equation are:**

- Find the common denominator.
- Multiply everything by the common denominator.
- Simplify.
- Check the answer(s) to make sure there isn't an extraneous solution.

Herein, how do you solve rational expressions with multiplication?

**Multiplying Rational Expressions**

- Multiply the numerators.
- Multiply the denominators.
- Simplify the “new” fraction by canceling common factors. Most of the time, you will need to expand a number as a product of its factors to identify common factors in the numerator and denominator which can be canceled.

**Process for Graphing a Rational Function**

- Find the intercepts, if there are any.
- Find the vertical asymptotes by setting the denominator equal to zero and solving.
- Find the horizontal asymptote, if it exists, using the fact above.
- The vertical asymptotes will divide the number line into regions.
- Sketch the graph.