An algebraic fraction is a fraction which contains variables in the numerator or denominator or both.
Algebraic fractions have the same properties as ordinary fractions, so we calculate with them in the same way.
We can only add or subtract algebraic fractions if their denominators are the same, in which case we add or subtract their numerators.
When multiplying algebraic fractions we multiply the numerators together and multiply the denominators together.
And when dividing algebraic fractions we invert and multiply.