Ask A Scientist Mathematics Archive

Question: Is there a great hands on way to explain division of fractions to 
sixth graders without the age old, "it's not for you to reason why, just 
invert and multiply?"
------------------------------------------------
Division is usually defined as multiplication by reciprocals or 
inverses.  In this case, starting with (m/n)/(p/q), multiply the numerator and 
denominator by q/p and simplify the denominator to 1 and you have proved it.  
I do not know how this is great or hands on, but it is an idea.
Tom Elsner
=========================================================