1. The cancellation in math is based on the property that if you multiply or divide both numerator and denominator of a fraction by the same nonzero number, the value of the fraction does not change. 2. For example, if you have a fraction $$\frac{a \times c}{b \times c}$$ where $$c \neq 0$$, you can cancel $$c$$ from numerator and denominator because $$\frac{a \times \cancel{c}}{b \times \cancel{c}} = \frac{a}{b}$$. 3. This works because multiplying or dividing by the same number is like multiplying by 1, which does not change the value. 4. In algebra, this is used to simplify expressions and solve equations by removing common factors. 5. Always ensure the factor you cancel is not zero, as division by zero is undefined. 6. So, cancellation is a simplification step that keeps the value the same but makes the expression easier to work with.