cancellation


Definition of Cancellation

  • The operation of canceling out common factors in both the numerator and the denominator is called Cancellation.

More about Cancellation

  • When common factors exist on both sides of an equation, canceling can be done.
  • By adding and subtracting common factors to both sides of an equation, canceling can be done.

Example of Cancellation

  • First, the numerator and the denominator are written as a product of their factors. Then the common factors are cancelled.

Solved Example on Cancellation

Solve for the variable in the equation.
5a = - 25
Choices:
A. - 20
B. 5
C. - 30
D. - 5
Correct Answer: D
Solution:
Step 1: 5a = - 25 [Original equation.]
Step 2: (5a)/5 = - 25/5 [Divide both sides by 5.]
Step 3: a = - 5

Related Terms for Cancellation

  • Common Factor
  • Denominator
  • Factors
  • Equation
  • Numerator
  • Operation