A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

This shows the results of factoring the GCF from the numerator and denominator of an algebraic fraction and then reducing using the division of identical factors resulting in replacing them with 1…

This demonstrates creating a multiplication in the numerator of a rational expression that will allow the expression to be reduced by dividing like factors to simply one