Home/Algebra/Rational expressions and partial fractions/Sum of algebraic fractions6. Rational expressions and partial fractionsSum of algebraic fractionsLevel: fundamentalIn 6. Rational expressions and partial fractionsFormulaCopy LaTeXab+cd=ad+bcbd\frac ab+\frac cd=\frac{ad+bc}{bd}ba+dc=bdad+bcTagsalgebraexpressions rationalalgebra formulapartial fractionsDetailAddition via a common denominator.Found an error? Contact us.Related formulasRelatedProduct and division of fractionsabcd=acbd;a/bc/d=adbc\frac ab\frac cd=\frac{ac}{bd};\quad \frac{a/b}{c/d}=\frac{ad}{bc}badc=bdac;c/da/b=bcadOpen formulaOpen in section