This week in precalc 11 we learned more about rational expressions and solving. We learned adding and subtracting rational expressions. We also learned how to solve rational equations.

*When solving rational expressions, there are three methods you can use*

1) Converting to a common denominator: you just multiply both sides of the equation by the common denominator, with this you can eliminate the denominators and turn the rational equation into a polynomial equation.

2) Multiplying through by the common denominator: we convert everything to the common denominator and then compare numerators

3) Cross multiplying: this works only if the equation has exactly one fraction on one side of the equal sign set exactly one fraction on the other side of the equals

*When adding/subtracting rational expressions:*

-find non-permissible values

-factor (if needed)

-cross out things that are the same or equivalent

-find common denominator

-multiply the fraction to get the common denominator

-add or subtract the numerators