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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

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

From Textbooks • Mar. 30, 2016

As we see in the next example, it may be possible to apply the technique of partial fraction decomposition to a nonrational function.

From Textbooks • Mar. 30, 2016

TRY IT #2 Find the partial fraction decomposition of the expression with repeated linear factors.

From Textbooks • Feb. 13, 2015

For the following exercises, write the partial fraction decomposition.

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