Before algebra was invented, mathematicians in the early times represent mathematical expressions, equations, and proofs geometrically and verbally. In this post, we do the same: we explore a geometric representation of multiplication of fractions. I am not sure though if this strategy was used before.
We have discussed that the area of a rectangle is the product of its base and its height. A rectangle with base 5 units and height 3 units has area 15 square units.
This method can be extended to fractions. For example, how do we represent the multiplication of and ? » Read more