SOLUTION: simplify (7-a/b)/(14/b)

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Question 120605: simplify (7-a/b)/(14/b)
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Division by a fraction, in general, is the same as multiplication by its inverse.
i.e.: %28alpha%29%2F%281%2F%28alpha%29%29=%28alpha%29%2A%28alpha%29=%28alpha%29%5E2.
Now we have the machinery to see that:
%287-a%2Fb%29%2F%2814%2Fb%29=%287-a%2Fb%29%2Ab%2F14=7b%2F14-a%2F14=-a%2F14%2Bb%2F2.