Question

How is the product of 3 x 1/4 related to the product of 3 x 1/2? Try to explain without finding the product. Use an array diagram to show how you know.

Answer 1

Ok, so

Let me draw an array diagram

Notice what, we will multiply 3 squares, per 1 square in a row.

Now, notice that if we draw the other array diagram:

If we analyze, we conclude that 3*(1/4) is exactly the half of 3/2.