Students love to cancel wherever they can, so much so that the book Comic Sections (now out of print) had the following joke:
- The student law of universal cancellation: If the same symbol x occurs in any two different places on the one page it may be cancelled
So you get horrors like
And yet strange things can happen. It is true that .
What is remarkable is that you can have as many sixes as you like and cancel them as many times as you like so, for example, . Can you prove this is true? Can you find 3 other similar fractions?