Ugly Equations: Dealing with Fractions

Fractions are important. Computing with fractions is important. Nobody can be truly educated in math without remembering steps for common denominators or cross-canceling.

That said, fractions can be a real hassle, especially in an equation. Even worse, some equations can have fractions with different denominators. If I give a class an equation like that, I can see immediately what students are thinking: that is an UGLY EQUATION.

Fortunately, there is a method for dealing with this type of ugly equation - a method that transforms fractions into whole numbers. This method even works when the denominator is a variable or an algebra expression. I call this method multiplying through.

Here are two episodes of "Math with Ms. T and Betsy" that show the steps.

Notes about this method are posted under the page, "Notes on Equations with One Variable".