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partial fraction

American

noun

Algebra.

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 British

noun

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

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of partial fraction

First recorded in 1810–20

Example Sentences

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partial fraction

TRY IT #4 Find the partial fraction decomposition of the following expression.

From Textbooks ● Sep. 23, 2020

If not, we need to perform long division before attempting partial fraction decomposition.

From Textbooks ● Mar. 30, 2016

Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it?

From Textbooks ● Feb. 13, 2015

You are unsure if you correctly decomposed the partial fraction correctly.

From Textbooks ● Feb. 13, 2015

Although this method is not seen very often in textbooks, we present it here as an alternative that may make some partial fraction decompositions easier.

From Textbooks ● Feb. 13, 2015

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023