Question

How many 2-inch by 3-inch pieces of cake can be cut from a cake that is 12 inches by 24 inches?

Answer 1

kind of an odd cake, sorta rectangular

but anyhow so the cake is a 12 x 24
and the pieces are 2x3

how many 2x3 rectangles are in a bigger rectangle of 12x24 then?
so

so the area of the 12 x 24 is, well 12 * 24

the area of the smaller pieces is 2 * 3

so, you're really being asked, how many (2*3) are in a (12 * 24)
or \(\bf \cfrac{12\cdot 24}{2\cdot 3}\)