Status: New
Owner: ----
Labels: Type-Defect Priority-Medium

New issue 3782 by paanini....@gmail.com: Error in dividing a symbol by a fraction
http://code.google.com/p/sympy/issues/detail?id=3782

When you have expressions of the form x/(a/b) where a and b are integers, strange behaviour occurs. x/(a/b) should ideally simplify to x*b/a, however:

If a>b, the result is x/b:

In [46]: n/(5/2)
Out[46]: n/2

Else If b > a, the result is oo*x:

In [47]: n/(1/2)
Out[47]: oo*n

If a == b or if either a or b is a floating point, the expression is correctly evaluated.

In [48]: n/(1/1)
Out[48]: n

In [49]: n/(5.0/2)
Out[49]: 0.4*n

This behaviour is leading to a number of other bugs, especially in the series module, particularly Issue 1015. (https://code.google.com/p/sympy/issues/detail?id=1015)


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