We can use the properties to rewrite expression in ways that allow us to simplify them. For instance, let's take the following example:
[tex]\frac{2\cdot6+5\cdot6}{6}[/tex]We can use the distributive property on the numerator to rewrite the expression as shown below:
[tex]\frac{6\cdot(2+5)_{}}{6}=2+5=7[/tex]This way we were able to eliminate the "6" from both the numerator and denominator, allowing us to have a simpler expression.
