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. Cancellation

Video Examples:Multiplying Fractions Using Cancellation


Solved Example on Cancellation

Ques: 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