Having learned how to use common denominators to get rid of fractions in equations, you might be wondering how to isolate a variable that is in the denominator. This is a great question!
The good news is that the approach is the same as with getting rid of a denominator that contains only numbers! To find the common denominator, you multiply all the different factors once. Here’s two examples:
Solve the equation
Solve the equation for
The common denominator is . Multiply both sides of the equation by the common denominator:
Finally, get rid of the number in front of :