We found the LCD of all the fractions in the equation and then multiplied both sides of the equation by the LCD to “clear” the fractions. But because the original equation may have a variable in a den...We found the LCD of all the fractions in the equation and then multiplied both sides of the equation by the LCD to “clear” the fractions. But because the original equation may have a variable in a denominator we must be careful that we don’t end up with a solution that would make a denominator equal to zero. An extraneous solution to a rational equation is an algebraic solution that would cause any of the expressions in the original equation to be undefined.
