How to simplify algebraic fractions?
There is no single method for simplifying algebraic fractions.
Some algebraic fractions can not be simplified.
Sometimes a common factor can be found in the numerator and denominator and removed.
Sometimes you can perform polynomial long division and find a simplification; but sometimes whether the result is a "simplification" is questionable:
if treated as a long division gives the result:
Is this really a simplification?