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Why does a/(b/c) = a(c/b)?

by abhididdigi on 11/21/14, 11:06 PM with 1 comments

• by jonsen on 11/22/14, 12:09 AM

  I often find the following analogy useful to have in mind

    a-(b-c) = a+(-b+c) = a+(c-b)
  
    a/(b/c) = a*(/b*c) = a*(c/b)
  
    a*(/b*c) is not legal syntax in most languages, but why not?