Solving fractions with x in the denominator involves multiplying both the numerator and denominator by an appropriate expression to eliminate the variable from the denominator. This technique is crucial for simplifying and performing operations on rational expressions, which are algebraic fractions.
Eliminating x from the denominator ensures that the resulting expression is well-defined for all values of x except those that make the denominator zero. This is essential for avoiding division by zero, which is undefined.
