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Multiplying and Dividing Rational Expressions


Two rational expressions can be multiplied or divided just like two rational numbers.

You can use two methods to multiply rational numbers.

·       Method 1 Multiply numerators and multiply denominators. Then divide each numerator and denominator by the greatest common factor.

·       Method 2 Divide numerators and denominators by any common factors. Then multiply numerators and denominators.

Both methods have the same result.

You can use the same methods to multiply rational expressions. Multiply .

 

Example

Find each product.

 

 

 



 

 

 


 

 

  

 

  

 

To divide a rational number by any nonzero number, multiply by its reciprocal. You can use the same method to multiply rational expressions.

          

Example

Sports Link

 

5.   The Indianapolis 500 is a 500-mile automobile race. Each lap is 2 ½ miles long. How many laps does a driver complete to race the entire 500 miles?

 

Alternative Solutions:

 

A driver completes 200 laps.

 

Example

Find each quotient.

 

 




 

 

Sometimes it is necessary to factor 1 from one of the terms.

 

Example

 

 

 

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Labels: Mathematician

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