Adding/Subtracting Fractions

Sabtu, 26 Februari 2022

 

When adding fractions with variables in one or more denominators, the LCD will have each variable (or algebraic expression) to its highest power as a factor. For example, the LCD foris x²y³.

 

Examples

          

     

 

Practice

 

 

Solutions

 

 

Property 5            

 

This property says that a^{– 1} is the reciprocal of a. In other words, a^{– 1}  means ‘‘invert a’’.

 

Examples

          

      

Property 6            

This is a combination of Properties 3 and 5:

 

Examples

          

      

 

Often a combination of exponent properties is needed. In the following examples the goal is to rewrite the expression without using a negative exponent.

 

Examples

          

      

 

Practice

 

 

Solutions

 

 

In expressions such as (2x)^{– 1}   the exponent ‘‘–1’’ applies to 2x, but in 2x^{– 1}

the exponent ‘‘ –1’’ applies only to x:

 

Sumber

Labels: Mathematician

Thanks for reading Adding/Subtracting Fractions. Please share...!