Solving an equation with variables in the denominator

In this example, we solve an equation with fractions but with variables in the denominator.  If you do not like to work with fractions, find the least common multiple of the denominator.  Then multiply each term by the least common multiple and voila the fractions are gone and you can solve the equation that is left. We do need to check our solution as it could be extraneous, a solution that does not work in the original problem.  Why?  Well, we know that in a fraction, the denominator can not be zero.  We cannot divide by zero as there is no reciprocal for zero.