In[1]:= Quantity["AvogadroConstant"]
Quantity["Mole"]
Quantity["AvogadroConstant"] Quantity["Mole"]
Quantity["AvogadroConstant"] Quantity["Mole"]/Quantity["Liter"]
Quantity["AvogadroConstant"] (Quantity["Mole"]/Quantity["Liter"])
Quantity["AvogadroConstant"] Quantity["Mole/Liter"]
(Quantity["AvogadroConstant"] Quantity["Mole"])/Quantity["Liter"]
Out[1]= 1 Avogadro constants
Out[2]= 1 mol
Out[3]= 6.022141 x 10^23
Out[4]= 1 mol Avogadro constants / L
Out[5]= 1 mol Avogadro constants / L
Out[6]= 1 mol Avogadro constants / L
Out[7]= 6.022141 x 10^23 / L
My question is why doesn't the output from the 4th, 5th, & 6th lines match the 7th line, specifically regarding units. Avogadro constants and moles clearly cancel when multiplied as in line three. Why isn't Mathematica canceling these units in the 4th, 5th, and 6th input lines?
This is a simplified example of this problem, as I am trying to perform some more complicated calculations and the units are giving me this difficulty in not canceling when multiplying Molarity and Avogadro's Constant as in input line 6.
