Multiplying and Dividing Rational Expressions

Multiplying and Dividing Fractions Multiply Numerators Multiply Denominators Multiply by the reciprocal (flip) Remember to Simplify! Multiply: Divide:

Simplify the following expressions: a) b) c) Example 1 The techniques we use to simplify a fraction without variables (Finding the greatest common FACTOR) is the same we will use to simplify fractions with variables.

Example 2 Half the work is done. It is already factored. Combine the fractions by multiplying Rewrite any factors if they are raised to a power Cancel common factors Simplify: These are just the values of x that make the expression undefined.

Example 3 Multiply by the reciprocal (Flip the fraction) Factor Make sure to Factor Completely Cancel common factors Can NOT cancel since its not in factored form. Simplify: These are just the values of x that make the expression undefined.

OR

Example 3 Simplify: Multiply by the reciprocal (Flip the fraction) Factor Make sure to Factor Completely Cancel common factors Almost the same as x – 5 TRICK: Factor out -1 to make it the same. Can NOT cancel since its not in factored form. These are just the values of x that make the expression undefined.