Nine_Chapters

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The Nine Chapters on the Mathematical Art

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 This came through on my Facebook feed yesterday, and I found it fascinating.

How math was done in China before the Common Era, wile mathematics between

Asia and the West were still separate. Is it magic? No, one islooking for the greatest 

common denominator through an iterative method.

Here, an example where the answer is obvious:

18/27 = ??

27 - 18 = 9

18 - 9  = 9

The two numbers are now equal; that is the greatest common denominator. Thus

18/9 = 2

27/9 = 3

The answer is 2/3

18/27 = 2/3

The contents of the work:

                                                                                    

Gauss-Jordon example, from the Rusian Wikipedia: