partial fraction

noun

, Algebra.

1. one of the fractions into which a given fraction can be resolved, the sum of such simpler fractions being equal to the given fraction:

   Partial fractions of 5/(x2−x) are 5/(x−1) and −5/x.

partial fraction

noun

1. maths one of a set of fractions into which a more complicated fraction can be resolved

Word History and Origins

Origin of partial fraction¹

First recorded in 1810–20

Example Sentences

The partial fraction bn/an corresponding to the nth convergent can be found from the relations pn = anpn-1 + bnpn-2,   qn = anqn-1 + bnqn-2 ; and the first two partial quotients are given by b1 = p1,    a1 = q1,    b1a2 = p2,    a1a2 + b2 = q2.

From Project Gutenberg