Cancelling out

This article is about cancellation of terms in an equation or in elementary algebra. For the extension of 'invertibility' in abstract algebra, see cancellation property.

Cancelling out is a mathematical process used for removing subexpressions from a mathematical expression, when this removal does not change the meaning or the value of the expression because the subexpressions have equal and opposing effects.[1] For example, a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.[2] As another example, if a×b=a×c, then the multiplicative term a can be canceled out if a≠0, resulting in the equivalent expression b=c; this is equivalent to dividing through by a.

  1. ^ "How to Cancel out in basic algebra". WonderHowTo. Retrieved 2022-08-12.
  2. ^ "Definition and examples cancellation | define cancellation - algebra 1 - Free Math Dictionary Online". www.icoachmath.com. Retrieved 2022-08-12.