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Like other math junkies, I got hooked on MATLAB in college. Later I discovered Octave, a free open source clone of MATLAB, and now I try to sort of evangelize and convert others to become followers of the cult of Octave.
Example of using Octave to solve or create arbitrary quadratic equations:
(See reply labeled "best answer")
http://www.instructables.com/answers/I_need_a_detailed_method_of_doing_and_double_chec/?comments=all#CSW36DKFQWVUZLD
Screenshot of Octave, using factor() and gcd() to reduce 3125/1000 to 25/8:
http://www.instructables.com/files/orig/FZ9/B7QX/FQSX01DD/FZ9B7QXFQSX01DD.png
The screenshot is the 2nd picture from Step 3 of my award winning instructable on converting decimal numbers to fractions:
http://www.instructables.com/id/Decimal_to_Fraction_2/
(BTW, this link is a shameless plug for one of my own instructables. The award I won was a free t-shirt.)