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  Drive ratios of bicycle hub gears  
  including most common hubs and many rare ones  
  A workbook prepared in Microsoft Excel 2007  
  and also saved as Web pages  
  John S. Allen  
  Read this first  
  Fractional ratios  
  Improper fractions  
  Decimal approximations  
  Increments and total range  
  Example of reverse engineering  
  Original Excel workbook, with formulas  
  copyright 2009, 2010, John S. Allen  
  Last revised May 23, 2016