Algebraic fractions are expressions that involve ratios of polynomials. They can be simplified, added, subtracted, multiplied, or divided just like regular fractions, but they require an understanding of polynomial operations. For example, the expression 3x^2 + 2/x^2 - 1 is an algebraic fraction where both the numerator and denominator are polynomials. Working with algebraic fractions often involves finding a common denominator, factoring polynomials, and simplifying the expression. These skills are essential in solving equations that contain algebraic fractions, which can appear in various mathematical contexts, including algebra, calculus, and applied mathematics.