This week we spoke about solving rational equations with cross-multiplication, addition, and subtraction, and finding the common denominator.

An example of using cross-multiplication in an equation could be used in an equation like 16/2g²+2g-12 = 6/g²-9

You would start with cross-multiplying the two fractions denominator and numerators.

This is how you solve the equation and what it looks like:

Going over to another way of working through one of these problems is finding the common denominator. In the example of 2+10⁄x = -12⁄x, it would be a good idea to find the common denominator because they are so similar.

This is how you solve the equation and what it looks like:

Depending on the equation you are working on changes whether you should use cross-multiplication or finding the common denominator, though they will both find you the same answer.