Division of Fractions Explanation
I need some help with division of fractions. So we have been modelling that 3 divided by 1/2 would equal 6 because you would have 6 groups of 1/2. Now I need help explaining why when you would divide 2 1/2 by 1/3 you end up with 15/2 or 7 1/2. I get where the 15 comes from because when you take 5 one-half pieces and break those one-half pieces into thirds, you would have 15 one-third pieces, but why then do you put them into groups of 2? Or if you divide 2 1/2 by 2/3, why do you put them into groups of 4?