This week we were taught how to simplify, solve, and write non-permissible values for rational expressions.

The fractional equations we were given made us learn to simplify using factoring and learn how to cancel out expressions in the equations. Then, going from there you would multiply and continue on canceling out is possible. Though, if the question asked you to divide you would take the second expression in the equation and flip the fraction, making the denominator the numerator and the numerator the denominator. Letting you change the division sign into a multiplication sign. Then, proceed as you usually would on a multiplication question.

An example of simplifying a rational expression could look like this:

After we are done simplifying or solving as much as we can, we have to right the non-permissible values for the equations, to show the specific numbers that the variable in the equation cannot be. These values look like x≠(#). This small detail is crucial and depending on the questions will depend on the number of non-permissible values you will have to include in the equation.

For our example used above, the end product for our work would include (x≠-5)(x≠-3)(x≠-2) on the side of the final solution or simplification of the equation.