**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