Division of Fractions using Bar Modelling

I was shown this innovative way to perform fraction division using bar modelling today. I previously thought bar modelling for this topic didn’t really work. As did many others.


I think it’s pretty clever. Convert the fractions into equivalents with a common denominator, draw out the first fraction by shading in a bar model, then circle equal sized groups of the size of the numerator of the second fraction (in this case, 5) up to and including the last shaded cells. In this case, we have 2 wholes (2 entirely shaded groups) and 2/5 – because 2/5 of the final group was shaded.