Dividing Fractions

We have been learning about fractions in math lately. This past week we learned about dividing fractions, and how to explain specifically how dividing fractions works. For homework, I had to explain how 3/4 divided by 1/8 works with a visual representation, so here it is.

My model above shows how 3/4 divided by 1/8 works. The shaded area is 3/4 (of one whole). We are cutting up the 3/4 into pieces that are each 1/8 (of one whole). You can see that there are 6 eighths that fit into 3/4. So really, it is very similar to dividing whole numbers, when you look at this model. Another thing my model shows is that we are cutting the 3/4 in to groups of 1/8 out of the whole. It is not 1/8 of 3/4. You can see this because if you were making eighths of 3/4, then you would have a total of 8 parts, and the parts would be smaller.