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sage: var('a b c d')
d')
 sage: q=(a*b+c)/(b*d+a+c)
 
sage: q=(ab+c)/(bd+a+c)expand(numerator(q)/b)/expand(denominator(q)/b)
  
sage: expand(numerator(q)/b)/expand(denominator(q)/b)
 
(a + c/b)/(d + a/b + c/b)c/b)