```Date: Aug 10, 1995 12:14 PM
Author: David Van Slyke
Subject: Re: nctm-l-digest V1 #119

> From: rex@bertha.cqu.edu.au (Rex Boggs)> Date: Wed, 9 Aug 1995 19:48:40 +1000> Subject: re: el fractions etc[snip!]> But what question can you pose where the necessary operation is> dividing, say, 1/4 by 3/5?  I used to think there weren't any such> questions, until I read a good response last year (somewhere on the Net..)>> Think of division of fractions another way -> first think of  3 divide 6  = 1/2  as meaning that 3 is 1/2 of 6.  Also,> 1/4  divide  2  = 1/8 means that  1/4  is 1/8 of 2,  So 1/4  divide 3/5> becomes   ' 1/4 is what part of 3/5?'  and the answer is that 1/4 is > 5/12 of 3/5.> > I haven't come across anything better than that.How about the following:   How many quarter-pound bags of rice would you need to buy in   order to have 5 1/2 pounds of rice?(For a very thought provoking article on this subject, I recommend "The Mathematical Understandings that Prospective Teachers Bring to Teacher Education", by Deborah Loewenberg Ball, The Elementary School Journal, Vol 90, No 4, Pg 449-466)-DVS
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