**Simplifying** can refer to:

- Reducing a fraction.
- Reducing the number of terms.
- Reducing the number of factors.

## Example of reducing the number of terms

Simplify:

Add terms.

=

## Example of reducing the number of factors

Simplify:

Multiply factors.

=

## Example of multiple forms of simplification

Simplify:

Multiply factors.

=

Add terms.

=

Write the numerator and denominator as products of their prime factors:

=

The common factors are 2, 2, 5 and x. Divide numerator and denominator by 2*2*5*x:

= =

Multiply factors.

=

**Example of Simplifying Algebraic Expressions**

-2(x-9)/6 + 9(b-x-y)/7

-2x+18/6 + 9b-9x-9y/7

-2x + 18 + 9b - 9x - 9y/42

-11x+18+9b-9y/42